-4(3m-10)-6(7m-6)=-74

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Solution for -4(3m-10)-6(7m-6)=-74 equation:


Simplifying
-4(3m + -10) + -6(7m + -6) = -74

Reorder the terms:
-4(-10 + 3m) + -6(7m + -6) = -74
(-10 * -4 + 3m * -4) + -6(7m + -6) = -74
(40 + -12m) + -6(7m + -6) = -74

Reorder the terms:
40 + -12m + -6(-6 + 7m) = -74
40 + -12m + (-6 * -6 + 7m * -6) = -74
40 + -12m + (36 + -42m) = -74

Reorder the terms:
40 + 36 + -12m + -42m = -74

Combine like terms: 40 + 36 = 76
76 + -12m + -42m = -74

Combine like terms: -12m + -42m = -54m
76 + -54m = -74

Solving
76 + -54m = -74

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 + -54m = -74 + -76

Combine like terms: 76 + -76 = 0
0 + -54m = -74 + -76
-54m = -74 + -76

Combine like terms: -74 + -76 = -150
-54m = -150

Divide each side by '-54'.
m = 2.777777778

Simplifying
m = 2.777777778

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