5(8+7m)+8(-7m-6)=-50

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Solution for 5(8+7m)+8(-7m-6)=-50 equation:


Simplifying
5(8 + 7m) + 8(-7m + -6) = -50
(8 * 5 + 7m * 5) + 8(-7m + -6) = -50
(40 + 35m) + 8(-7m + -6) = -50

Reorder the terms:
40 + 35m + 8(-6 + -7m) = -50
40 + 35m + (-6 * 8 + -7m * 8) = -50
40 + 35m + (-48 + -56m) = -50

Reorder the terms:
40 + -48 + 35m + -56m = -50

Combine like terms: 40 + -48 = -8
-8 + 35m + -56m = -50

Combine like terms: 35m + -56m = -21m
-8 + -21m = -50

Solving
-8 + -21m = -50

Solving for variable 'm'.

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

Add '8' to each side of the equation.
-8 + 8 + -21m = -50 + 8

Combine like terms: -8 + 8 = 0
0 + -21m = -50 + 8
-21m = -50 + 8

Combine like terms: -50 + 8 = -42
-21m = -42

Divide each side by '-21'.
m = 2

Simplifying
m = 2

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