(2m+7)=-5(6+m)

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Solution for (2m+7)=-5(6+m) equation:


Simplifying
(2m + 7) = -5(6 + m)

Reorder the terms:
(7 + 2m) = -5(6 + m)

Remove parenthesis around (7 + 2m)
7 + 2m = -5(6 + m)
7 + 2m = (6 * -5 + m * -5)
7 + 2m = (-30 + -5m)

Solving
7 + 2m = -30 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
7 + 2m + 5m = -30 + -5m + 5m

Combine like terms: 2m + 5m = 7m
7 + 7m = -30 + -5m + 5m

Combine like terms: -5m + 5m = 0
7 + 7m = -30 + 0
7 + 7m = -30

Add '-7' to each side of the equation.
7 + -7 + 7m = -30 + -7

Combine like terms: 7 + -7 = 0
0 + 7m = -30 + -7
7m = -30 + -7

Combine like terms: -30 + -7 = -37
7m = -37

Divide each side by '7'.
m = -5.285714286

Simplifying
m = -5.285714286

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