-6m+48-8(m-2)=4m-(3m-5)-2m+7

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Solution for -6m+48-8(m-2)=4m-(3m-5)-2m+7 equation:


Simplifying
-6m + 48 + -8(m + -2) = 4m + -1(3m + -5) + -2m + 7

Reorder the terms:
-6m + 48 + -8(-2 + m) = 4m + -1(3m + -5) + -2m + 7
-6m + 48 + (-2 * -8 + m * -8) = 4m + -1(3m + -5) + -2m + 7
-6m + 48 + (16 + -8m) = 4m + -1(3m + -5) + -2m + 7

Reorder the terms:
48 + 16 + -6m + -8m = 4m + -1(3m + -5) + -2m + 7

Combine like terms: 48 + 16 = 64
64 + -6m + -8m = 4m + -1(3m + -5) + -2m + 7

Combine like terms: -6m + -8m = -14m
64 + -14m = 4m + -1(3m + -5) + -2m + 7

Reorder the terms:
64 + -14m = 4m + -1(-5 + 3m) + -2m + 7
64 + -14m = 4m + (-5 * -1 + 3m * -1) + -2m + 7
64 + -14m = 4m + (5 + -3m) + -2m + 7

Reorder the terms:
64 + -14m = 5 + 7 + 4m + -3m + -2m

Combine like terms: 5 + 7 = 12
64 + -14m = 12 + 4m + -3m + -2m

Combine like terms: 4m + -3m = 1m
64 + -14m = 12 + 1m + -2m

Combine like terms: 1m + -2m = -1m
64 + -14m = 12 + -1m

Solving
64 + -14m = 12 + -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.
64 + -14m + m = 12 + -1m + m

Combine like terms: -14m + m = -13m
64 + -13m = 12 + -1m + m

Combine like terms: -1m + m = 0
64 + -13m = 12 + 0
64 + -13m = 12

Add '-64' to each side of the equation.
64 + -64 + -13m = 12 + -64

Combine like terms: 64 + -64 = 0
0 + -13m = 12 + -64
-13m = 12 + -64

Combine like terms: 12 + -64 = -52
-13m = -52

Divide each side by '-13'.
m = 4

Simplifying
m = 4

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