-6m+63-8(m-1)=5m-(2m-1)-4m+5

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Solution for -6m+63-8(m-1)=5m-(2m-1)-4m+5 equation:


Simplifying
-6m + 63 + -8(m + -1) = 5m + -1(2m + -1) + -4m + 5

Reorder the terms:
-6m + 63 + -8(-1 + m) = 5m + -1(2m + -1) + -4m + 5
-6m + 63 + (-1 * -8 + m * -8) = 5m + -1(2m + -1) + -4m + 5
-6m + 63 + (8 + -8m) = 5m + -1(2m + -1) + -4m + 5

Reorder the terms:
63 + 8 + -6m + -8m = 5m + -1(2m + -1) + -4m + 5

Combine like terms: 63 + 8 = 71
71 + -6m + -8m = 5m + -1(2m + -1) + -4m + 5

Combine like terms: -6m + -8m = -14m
71 + -14m = 5m + -1(2m + -1) + -4m + 5

Reorder the terms:
71 + -14m = 5m + -1(-1 + 2m) + -4m + 5
71 + -14m = 5m + (-1 * -1 + 2m * -1) + -4m + 5
71 + -14m = 5m + (1 + -2m) + -4m + 5

Reorder the terms:
71 + -14m = 1 + 5 + 5m + -2m + -4m

Combine like terms: 1 + 5 = 6
71 + -14m = 6 + 5m + -2m + -4m

Combine like terms: 5m + -2m = 3m
71 + -14m = 6 + 3m + -4m

Combine like terms: 3m + -4m = -1m
71 + -14m = 6 + -1m

Solving
71 + -14m = 6 + -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.
71 + -14m + m = 6 + -1m + m

Combine like terms: -14m + m = -13m
71 + -13m = 6 + -1m + m

Combine like terms: -1m + m = 0
71 + -13m = 6 + 0
71 + -13m = 6

Add '-71' to each side of the equation.
71 + -71 + -13m = 6 + -71

Combine like terms: 71 + -71 = 0
0 + -13m = 6 + -71
-13m = 6 + -71

Combine like terms: 6 + -71 = -65
-13m = -65

Divide each side by '-13'.
m = 5

Simplifying
m = 5

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