8m-(5m-7)=6+4m-15

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Solution for 8m-(5m-7)=6+4m-15 equation:


Simplifying
8m + -1(5m + -7) = 6 + 4m + -15

Reorder the terms:
8m + -1(-7 + 5m) = 6 + 4m + -15
8m + (-7 * -1 + 5m * -1) = 6 + 4m + -15
8m + (7 + -5m) = 6 + 4m + -15

Reorder the terms:
7 + 8m + -5m = 6 + 4m + -15

Combine like terms: 8m + -5m = 3m
7 + 3m = 6 + 4m + -15

Reorder the terms:
7 + 3m = 6 + -15 + 4m

Combine like terms: 6 + -15 = -9
7 + 3m = -9 + 4m

Solving
7 + 3m = -9 + 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.
7 + 3m + -4m = -9 + 4m + -4m

Combine like terms: 3m + -4m = -1m
7 + -1m = -9 + 4m + -4m

Combine like terms: 4m + -4m = 0
7 + -1m = -9 + 0
7 + -1m = -9

Add '-7' to each side of the equation.
7 + -7 + -1m = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = -9 + -7
-1m = -9 + -7

Combine like terms: -9 + -7 = -16
-1m = -16

Divide each side by '-1'.
m = 16

Simplifying
m = 16

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