4(5-7m)=-6m-7(4m-2)

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Solution for 4(5-7m)=-6m-7(4m-2) equation:


Simplifying
4(5 + -7m) = -6m + -7(4m + -2)
(5 * 4 + -7m * 4) = -6m + -7(4m + -2)
(20 + -28m) = -6m + -7(4m + -2)

Reorder the terms:
20 + -28m = -6m + -7(-2 + 4m)
20 + -28m = -6m + (-2 * -7 + 4m * -7)
20 + -28m = -6m + (14 + -28m)

Reorder the terms:
20 + -28m = 14 + -6m + -28m

Combine like terms: -6m + -28m = -34m
20 + -28m = 14 + -34m

Solving
20 + -28m = 14 + -34m

Solving for variable 'm'.

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

Add '34m' to each side of the equation.
20 + -28m + 34m = 14 + -34m + 34m

Combine like terms: -28m + 34m = 6m
20 + 6m = 14 + -34m + 34m

Combine like terms: -34m + 34m = 0
20 + 6m = 14 + 0
20 + 6m = 14

Add '-20' to each side of the equation.
20 + -20 + 6m = 14 + -20

Combine like terms: 20 + -20 = 0
0 + 6m = 14 + -20
6m = 14 + -20

Combine like terms: 14 + -20 = -6
6m = -6

Divide each side by '6'.
m = -1

Simplifying
m = -1

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