-7m+95-8(m-1)=8m-(5m-2)-4m+3

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Solution for -7m+95-8(m-1)=8m-(5m-2)-4m+3 equation: 


Simplifying
-7m + 95 + -8(m + -1) = 8m + -1(5m + -2) + -4m + 3

Reorder the terms:
-7m + 95 + -8(-1 + m) = 8m + -1(5m + -2) + -4m + 3
-7m + 95 + (-1 * -8 + m * -8) = 8m + -1(5m + -2) + -4m + 3
-7m + 95 + (8 + -8m) = 8m + -1(5m + -2) + -4m + 3

Reorder the terms:
95 + 8 + -7m + -8m = 8m + -1(5m + -2) + -4m + 3

Combine like terms: 95 + 8 = 103
103 + -7m + -8m = 8m + -1(5m + -2) + -4m + 3

Combine like terms: -7m + -8m = -15m
103 + -15m = 8m + -1(5m + -2) + -4m + 3

Reorder the terms:
103 + -15m = 8m + -1(-2 + 5m) + -4m + 3
103 + -15m = 8m + (-2 * -1 + 5m * -1) + -4m + 3
103 + -15m = 8m + (2 + -5m) + -4m + 3

Reorder the terms:
103 + -15m = 2 + 3 + 8m + -5m + -4m

Combine like terms: 2 + 3 = 5
103 + -15m = 5 + 8m + -5m + -4m

Combine like terms: 8m + -5m = 3m
103 + -15m = 5 + 3m + -4m

Combine like terms: 3m + -4m = -1m
103 + -15m = 5 + -1m

Solving
103 + -15m = 5 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
103 + -15m + m = 5 + -1m + m

Combine like terms: -15m + m = -14m
103 + -14m = 5 + -1m + m

Combine like terms: -1m + m = 0
103 + -14m = 5 + 0
103 + -14m = 5

Add '-103' to each side of the equation.
103 + -103 + -14m = 5 + -103

Combine like terms: 103 + -103 = 0
0 + -14m = 5 + -103
-14m = 5 + -103

Combine like terms: 5 + -103 = -98
-14m = -98

Divide each side by '-14'.
m = 7

Simplifying
m = 7

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