7(2m+2)=-3m-(m+4)

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Solution for 7(2m+2)=-3m-(m+4) equation:


Simplifying
7(2m + 2) = -3m + -1(m + 4)

Reorder the terms:
7(2 + 2m) = -3m + -1(m + 4)
(2 * 7 + 2m * 7) = -3m + -1(m + 4)
(14 + 14m) = -3m + -1(m + 4)

Reorder the terms:
14 + 14m = -3m + -1(4 + m)
14 + 14m = -3m + (4 * -1 + m * -1)
14 + 14m = -3m + (-4 + -1m)

Reorder the terms:
14 + 14m = -4 + -3m + -1m

Combine like terms: -3m + -1m = -4m
14 + 14m = -4 + -4m

Solving
14 + 14m = -4 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
14 + 14m + 4m = -4 + -4m + 4m

Combine like terms: 14m + 4m = 18m
14 + 18m = -4 + -4m + 4m

Combine like terms: -4m + 4m = 0
14 + 18m = -4 + 0
14 + 18m = -4

Add '-14' to each side of the equation.
14 + -14 + 18m = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 18m = -4 + -14
18m = -4 + -14

Combine like terms: -4 + -14 = -18
18m = -18

Divide each side by '18'.
m = -1

Simplifying
m = -1

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