4(2m+3)-7=5+7m-9

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Solution for 4(2m+3)-7=5+7m-9 equation:


Simplifying
4(2m + 3) + -7 = 5 + 7m + -9

Reorder the terms:
4(3 + 2m) + -7 = 5 + 7m + -9
(3 * 4 + 2m * 4) + -7 = 5 + 7m + -9
(12 + 8m) + -7 = 5 + 7m + -9

Reorder the terms:
12 + -7 + 8m = 5 + 7m + -9

Combine like terms: 12 + -7 = 5
5 + 8m = 5 + 7m + -9

Reorder the terms:
5 + 8m = 5 + -9 + 7m

Combine like terms: 5 + -9 = -4
5 + 8m = -4 + 7m

Solving
5 + 8m = -4 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
5 + 8m + -7m = -4 + 7m + -7m

Combine like terms: 8m + -7m = 1m
5 + 1m = -4 + 7m + -7m

Combine like terms: 7m + -7m = 0
5 + 1m = -4 + 0
5 + 1m = -4

Add '-5' to each side of the equation.
5 + -5 + 1m = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 1m = -4 + -5
1m = -4 + -5

Combine like terms: -4 + -5 = -9
1m = -9

Divide each side by '1'.
m = -9

Simplifying
m = -9

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