M+7(-4m-2)=-5(5m+8)

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Solution for M+7(-4m-2)=-5(5m+8) equation:


Simplifying
M + 7(-4m + -2) = -5(5m + 8)

Reorder the terms:
M + 7(-2 + -4m) = -5(5m + 8)
M + (-2 * 7 + -4m * 7) = -5(5m + 8)
M + (-14 + -28m) = -5(5m + 8)

Reorder the terms:
-14 + M + -28m = -5(5m + 8)

Reorder the terms:
-14 + M + -28m = -5(8 + 5m)
-14 + M + -28m = (8 * -5 + 5m * -5)
-14 + M + -28m = (-40 + -25m)

Solving
-14 + M + -28m = -40 + -25m

Solving for variable 'M'.

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

Add '14' to each side of the equation.
-14 + M + 14 + -28m = -40 + 14 + -25m

Reorder the terms:
-14 + 14 + M + -28m = -40 + 14 + -25m

Combine like terms: -14 + 14 = 0
0 + M + -28m = -40 + 14 + -25m
M + -28m = -40 + 14 + -25m

Combine like terms: -40 + 14 = -26
M + -28m = -26 + -25m

Add '28m' to each side of the equation.
M + -28m + 28m = -26 + -25m + 28m

Combine like terms: -28m + 28m = 0
M + 0 = -26 + -25m + 28m
M = -26 + -25m + 28m

Combine like terms: -25m + 28m = 3m
M = -26 + 3m

Simplifying
M = -26 + 3m

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