14-(m+7)=2(m-4)

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Solution for 14-(m+7)=2(m-4) equation:


Simplifying
14 + -1(m + 7) = 2(m + -4)

Reorder the terms:
14 + -1(7 + m) = 2(m + -4)
14 + (7 * -1 + m * -1) = 2(m + -4)
14 + (-7 + -1m) = 2(m + -4)

Combine like terms: 14 + -7 = 7
7 + -1m = 2(m + -4)

Reorder the terms:
7 + -1m = 2(-4 + m)
7 + -1m = (-4 * 2 + m * 2)
7 + -1m = (-8 + 2m)

Solving
7 + -1m = -8 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
7 + -1m + -2m = -8 + 2m + -2m

Combine like terms: -1m + -2m = -3m
7 + -3m = -8 + 2m + -2m

Combine like terms: 2m + -2m = 0
7 + -3m = -8 + 0
7 + -3m = -8

Add '-7' to each side of the equation.
7 + -7 + -3m = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = -8 + -7
-3m = -8 + -7

Combine like terms: -8 + -7 = -15
-3m = -15

Divide each side by '-3'.
m = 5

Simplifying
m = 5

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