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23 February, 01:33

What is the answer to 7 (2e-1) - 3=6+6e

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  1. 23 February, 01:37
    0
    Simplifying

    7 (2e + - 1) + - 3 = 6 + 6e

    Reorder the terms:

    7 (-1 + 2e) + - 3 = 6 + 6e

    (-1 * 7 + 2e * 7) + - 3 = 6 + 6e

    (-7 + 14e) + - 3 = 6 + 6e

    Reorder the terms:

    -7 + - 3 + 14e = 6 + 6e

    Combine like terms: - 7 + - 3 = - 10

    -10 + 14e = 6 + 6e

    Solving

    -10 + 14e = 6 + 6e

    Solving for variable 'e'.

    Move all terms containing e to the left, all other terms to the right.

    Add '-6e' to each side of the equation.

    -10 + 14e + - 6e = 6 + 6e + - 6e

    Combine like terms: 14e + - 6e = 8e

    -10 + 8e = 6 + 6e + - 6e

    Combine like terms: 6e + - 6e = 0

    -10 + 8e = 6 + 0

    -10 + 8e = 6

    Add '10' to each side of the equation.

    -10 + 10 + 8e = 6 + 10

    Combine like terms: - 10 + 10 = 0

    0 + 8e = 6 + 10

    8e = 6 + 10

    Combine like terms: 6 + 10 = 16

    8e = 16

    Divide each side by '8'.

    e = 2

    Simplifying

    e=2

    (sorry, i went into depth)
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