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28 March, 15:08

Solve for c. 4 (3+c) + c=c+14

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  1. 28 March, 15:19
    0
    c = 1/2

    Step-by-step explanation:

    Solve for c:

    c + 4 (c + 3) = c + 14

    4 (c + 3) = 4 c + 12:

    4 c + 12 + c = c + 14

    Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

    (c + 4 c) + 12 = c + 14

    c + 4 c = 5 c:

    5 c + 12 = c + 14

    Subtract c from both sides:

    (5 c - c) + 12 = (c - c) + 14

    5 c - c = 4 c:

    4 c + 12 = (c - c) + 14

    c - c = 0:

    4 c + 12 = 14

    Subtract 12 from both sides:

    4 c + (12 - 12) = 14 - 12

    12 - 12 = 0:

    4 c = 14 - 12

    14 - 12 = 2:

    4 c = 2

    Divide both sides of 4 c = 2 by 4:

    (4 c) / 4 = 2/4

    4/4 = 1:

    c = 2/4

    The gcd of 2 and 4 is 2, so 2/4 = (2*1) / (2*2) = 2/2*1/2 = 1/2:

    Answer: c = 1/2
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