4(m+1)+7(-m+8)=75

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Solution for 4(m+1)+7(-m+8)=75 equation: 


Simplifying
4(m + 1) + 7(-1m + 8) = 75

Reorder the terms:
4(1 + m) + 7(-1m + 8) = 75
(1 * 4 + m * 4) + 7(-1m + 8) = 75
(4 + 4m) + 7(-1m + 8) = 75

Reorder the terms:
4 + 4m + 7(8 + -1m) = 75
4 + 4m + (8 * 7 + -1m * 7) = 75
4 + 4m + (56 + -7m) = 75

Reorder the terms:
4 + 56 + 4m + -7m = 75

Combine like terms: 4 + 56 = 60
60 + 4m + -7m = 75

Combine like terms: 4m + -7m = -3m
60 + -3m = 75

Solving
60 + -3m = 75

Solving for variable 'm'.

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

Add '-60' to each side of the equation.
60 + -60 + -3m = 75 + -60

Combine like terms: 60 + -60 = 0
0 + -3m = 75 + -60
-3m = 75 + -60

Combine like terms: 75 + -60 = 15
-3m = 15

Divide each side by '-3'.
m = -5

Simplifying
m = -5

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