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MathematicsMathematics
22 December, 19:32

How do you do 6p - (5p+5) = - 8-2 (p+12)

+2
Answers (2)
  1. 22 December, 19:44
    0
    Let's solve your equation step-by-step.

    6

    p

    -

    (

    5

    p

    +

    5

    )

    =

    -

    8

    -

    2

    (

    p

    +

    12

    )

    Step 1: Simplify both sides of the equation.

    6

    p

    -

    (

    5

    p

    +

    5

    )

    =

    -

    8

    -

    2

    (

    p

    +

    12

    )

    6

    p

    +

    -

    1

    (

    5

    p

    +

    5

    )

    =

    -

    8

    -

    2

    (

    p

    +

    12

    )

    (Distribute the Negative Sign)

    6

    p

    +

    -

    1

    (

    5

    p

    )

    +

    (

    -

    1

    )

    (

    5

    )

    =

    -

    8

    -

    2

    (

    p

    +

    12

    )

    6

    p

    +

    -

    5

    p

    +

    -

    5

    =

    -

    8

    -

    2

    (

    p

    +

    12

    )

    6

    p

    +

    -

    5

    p

    +

    -

    5

    =

    -

    8

    +

    (

    -

    2

    )

    (

    p

    )

    +

    (

    -

    2

    )

    (

    12

    )

    (Distribute)

    6

    p

    +

    -

    5

    p

    +

    -

    5

    =

    -

    8

    +

    -

    2

    p

    +

    -

    24

    (

    6

    p

    +

    -

    5

    p

    )

    +

    (

    -

    5

    )

    =

    (

    -

    2

    p

    )

    +

    (

    -

    8

    +

    -

    24

    )

    (Combine Like Terms)

    p

    +

    -

    5

    =

    -

    2

    p

    +

    -

    32

    p

    -

    5

    =

    -

    2

    p

    -

    32

    Step 2: Add 2p to both sides.

    p

    -

    5

    +

    2

    p

    =

    -

    2

    p

    -

    32

    +

    2

    p

    3

    p

    -

    5

    =

    -

    32

    Step 3: Add 5 to both sides.

    3

    p

    -

    5

    +

    5

    =

    -

    32

    +

    5

    3

    p

    =

    -

    27

    Step 4: Divide both sides by 3.

    3

    p

    3

    =

    -

    27

    3

    p

    =

    -

    9
  2. 22 December, 19:49
    0
    6p - (5p + 5) = - 8 - 2 (p + 12)

    *Simplify both sides of the equation by distributing*

    6p - 5p - 5 = - 8 + - 2p - 24

    *Combine like terms*

    p - 5 = - 2p - 32

    *Add 2p to both sides*

    3p - 5 = - 32

    *Divide both sides by 3*

    p = - 9
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