5(m+7)+8=-5m-34

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Solution for 5(m+7)+8=-5m-34 equation:


Simplifying
5(m + 7) + 8 = -5m + -34

Reorder the terms:
5(7 + m) + 8 = -5m + -34
(7 * 5 + m * 5) + 8 = -5m + -34
(35 + 5m) + 8 = -5m + -34

Reorder the terms:
35 + 8 + 5m = -5m + -34

Combine like terms: 35 + 8 = 43
43 + 5m = -5m + -34

Reorder the terms:
43 + 5m = -34 + -5m

Solving
43 + 5m = -34 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
43 + 5m + 5m = -34 + -5m + 5m

Combine like terms: 5m + 5m = 10m
43 + 10m = -34 + -5m + 5m

Combine like terms: -5m + 5m = 0
43 + 10m = -34 + 0
43 + 10m = -34

Add '-43' to each side of the equation.
43 + -43 + 10m = -34 + -43

Combine like terms: 43 + -43 = 0
0 + 10m = -34 + -43
10m = -34 + -43

Combine like terms: -34 + -43 = -77
10m = -77

Divide each side by '10'.
m = -7.7

Simplifying
m = -7.7

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