8m-(7m+5)=-2(m+12)

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Solution for 8m-(7m+5)=-2(m+12) equation:


Simplifying
8m + -1(7m + 5) = -2(m + 12)

Reorder the terms:
8m + -1(5 + 7m) = -2(m + 12)
8m + (5 * -1 + 7m * -1) = -2(m + 12)
8m + (-5 + -7m) = -2(m + 12)

Reorder the terms:
-5 + 8m + -7m = -2(m + 12)

Combine like terms: 8m + -7m = 1m
-5 + 1m = -2(m + 12)

Reorder the terms:
-5 + 1m = -2(12 + m)
-5 + 1m = (12 * -2 + m * -2)
-5 + 1m = (-24 + -2m)

Solving
-5 + 1m = -24 + -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.
-5 + 1m + 2m = -24 + -2m + 2m

Combine like terms: 1m + 2m = 3m
-5 + 3m = -24 + -2m + 2m

Combine like terms: -2m + 2m = 0
-5 + 3m = -24 + 0
-5 + 3m = -24

Add '5' to each side of the equation.
-5 + 5 + 3m = -24 + 5

Combine like terms: -5 + 5 = 0
0 + 3m = -24 + 5
3m = -24 + 5

Combine like terms: -24 + 5 = -19
3m = -19

Divide each side by '3'.
m = -6.333333333

Simplifying
m = -6.333333333

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