5(1-3m)=30-2(4m+7)

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Solution for 5(1-3m)=30-2(4m+7) equation:


Simplifying
5(1 + -3m) = 30 + -2(4m + 7)
(1 * 5 + -3m * 5) = 30 + -2(4m + 7)
(5 + -15m) = 30 + -2(4m + 7)

Reorder the terms:
5 + -15m = 30 + -2(7 + 4m)
5 + -15m = 30 + (7 * -2 + 4m * -2)
5 + -15m = 30 + (-14 + -8m)

Combine like terms: 30 + -14 = 16
5 + -15m = 16 + -8m

Solving
5 + -15m = 16 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
5 + -15m + 8m = 16 + -8m + 8m

Combine like terms: -15m + 8m = -7m
5 + -7m = 16 + -8m + 8m

Combine like terms: -8m + 8m = 0
5 + -7m = 16 + 0
5 + -7m = 16

Add '-5' to each side of the equation.
5 + -5 + -7m = 16 + -5

Combine like terms: 5 + -5 = 0
0 + -7m = 16 + -5
-7m = 16 + -5

Combine like terms: 16 + -5 = 11
-7m = 11

Divide each side by '-7'.
m = -1.571428571

Simplifying
m = -1.571428571

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