-4(3m-10)-6(-7m-6)=-76

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Solution for -4(3m-10)-6(-7m-6)=-76 equation: 


Simplifying
-4(3m + -10) + -6(-7m + -6) = -76

Reorder the terms:
-4(-10 + 3m) + -6(-7m + -6) = -76
(-10 * -4 + 3m * -4) + -6(-7m + -6) = -76
(40 + -12m) + -6(-7m + -6) = -76

Reorder the terms:
40 + -12m + -6(-6 + -7m) = -76
40 + -12m + (-6 * -6 + -7m * -6) = -76
40 + -12m + (36 + 42m) = -76

Reorder the terms:
40 + 36 + -12m + 42m = -76

Combine like terms: 40 + 36 = 76
76 + -12m + 42m = -76

Combine like terms: -12m + 42m = 30m
76 + 30m = -76

Solving
76 + 30m = -76

Solving for variable 'm'.

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

Add '-76' to each side of the equation.
76 + -76 + 30m = -76 + -76

Combine like terms: 76 + -76 = 0
0 + 30m = -76 + -76
30m = -76 + -76

Combine like terms: -76 + -76 = -152
30m = -152

Divide each side by '30'.
m = -5.066666667

Simplifying
m = -5.066666667

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