-78=-3(-8-m)+7m-6

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Solution for -78=-3(-8-m)+7m-6 equation:


Simplifying
-78 = -3(-8 + -1m) + 7m + -6
-78 = (-8 * -3 + -1m * -3) + 7m + -6
-78 = (24 + 3m) + 7m + -6

Reorder the terms:
-78 = 24 + -6 + 3m + 7m

Combine like terms: 24 + -6 = 18
-78 = 18 + 3m + 7m

Combine like terms: 3m + 7m = 10m
-78 = 18 + 10m

Solving
-78 = 18 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
-78 + -10m = 18 + 10m + -10m

Combine like terms: 10m + -10m = 0
-78 + -10m = 18 + 0
-78 + -10m = 18

Add '78' to each side of the equation.
-78 + 78 + -10m = 18 + 78

Combine like terms: -78 + 78 = 0
0 + -10m = 18 + 78
-10m = 18 + 78

Combine like terms: 18 + 78 = 96
-10m = 96

Divide each side by '-10'.
m = -9.6

Simplifying
m = -9.6

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