7(-3m-4)-5m=-4(5m-2)

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


Simplifying
7(-3m + -4) + -5m = -4(5m + -2)

Reorder the terms:
7(-4 + -3m) + -5m = -4(5m + -2)
(-4 * 7 + -3m * 7) + -5m = -4(5m + -2)
(-28 + -21m) + -5m = -4(5m + -2)

Combine like terms: -21m + -5m = -26m
-28 + -26m = -4(5m + -2)

Reorder the terms:
-28 + -26m = -4(-2 + 5m)
-28 + -26m = (-2 * -4 + 5m * -4)
-28 + -26m = (8 + -20m)

Solving
-28 + -26m = 8 + -20m

Solving for variable 'm'.

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

Add '20m' to each side of the equation.
-28 + -26m + 20m = 8 + -20m + 20m

Combine like terms: -26m + 20m = -6m
-28 + -6m = 8 + -20m + 20m

Combine like terms: -20m + 20m = 0
-28 + -6m = 8 + 0
-28 + -6m = 8

Add '28' to each side of the equation.
-28 + 28 + -6m = 8 + 28

Combine like terms: -28 + 28 = 0
0 + -6m = 8 + 28
-6m = 8 + 28

Combine like terms: 8 + 28 = 36
-6m = 36

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

Simplifying
m = -6

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