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

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


Simplifying
-4(3m + -10) + -6(-7m + -1b) = -74

Reorder the terms:
-4(-10 + 3m) + -6(-7m + -1b) = -74
(-10 * -4 + 3m * -4) + -6(-7m + -1b) = -74
(40 + -12m) + -6(-7m + -1b) = -74

Reorder the terms:
40 + -12m + -6(-1b + -7m) = -74
40 + -12m + (-1b * -6 + -7m * -6) = -74
40 + -12m + (6b + 42m) = -74

Reorder the terms:
40 + 6b + -12m + 42m = -74

Combine like terms: -12m + 42m = 30m
40 + 6b + 30m = -74

Solving
40 + 6b + 30m = -74

Solving for variable 'b'.

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

Add '-40' to each side of the equation.
40 + 6b + -40 + 30m = -74 + -40

Reorder the terms:
40 + -40 + 6b + 30m = -74 + -40

Combine like terms: 40 + -40 = 0
0 + 6b + 30m = -74 + -40
6b + 30m = -74 + -40

Combine like terms: -74 + -40 = -114
6b + 30m = -114

Add '-30m' to each side of the equation.
6b + 30m + -30m = -114 + -30m

Combine like terms: 30m + -30m = 0
6b + 0 = -114 + -30m
6b = -114 + -30m

Divide each side by '6'.
b = -19 + -5m

Simplifying
b = -19 + -5m

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