-8m+38-7(m-4)=3m-(5m-4)-2m+7

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Solution for -8m+38-7(m-4)=3m-(5m-4)-2m+7 equation:


Simplifying
-8m + 38 + -7(m + -4) = 3m + -1(5m + -4) + -2m + 7

Reorder the terms:
-8m + 38 + -7(-4 + m) = 3m + -1(5m + -4) + -2m + 7
-8m + 38 + (-4 * -7 + m * -7) = 3m + -1(5m + -4) + -2m + 7
-8m + 38 + (28 + -7m) = 3m + -1(5m + -4) + -2m + 7

Reorder the terms:
38 + 28 + -8m + -7m = 3m + -1(5m + -4) + -2m + 7

Combine like terms: 38 + 28 = 66
66 + -8m + -7m = 3m + -1(5m + -4) + -2m + 7

Combine like terms: -8m + -7m = -15m
66 + -15m = 3m + -1(5m + -4) + -2m + 7

Reorder the terms:
66 + -15m = 3m + -1(-4 + 5m) + -2m + 7
66 + -15m = 3m + (-4 * -1 + 5m * -1) + -2m + 7
66 + -15m = 3m + (4 + -5m) + -2m + 7

Reorder the terms:
66 + -15m = 4 + 7 + 3m + -5m + -2m

Combine like terms: 4 + 7 = 11
66 + -15m = 11 + 3m + -5m + -2m

Combine like terms: 3m + -5m = -2m
66 + -15m = 11 + -2m + -2m

Combine like terms: -2m + -2m = -4m
66 + -15m = 11 + -4m

Solving
66 + -15m = 11 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
66 + -15m + 4m = 11 + -4m + 4m

Combine like terms: -15m + 4m = -11m
66 + -11m = 11 + -4m + 4m

Combine like terms: -4m + 4m = 0
66 + -11m = 11 + 0
66 + -11m = 11

Add '-66' to each side of the equation.
66 + -66 + -11m = 11 + -66

Combine like terms: 66 + -66 = 0
0 + -11m = 11 + -66
-11m = 11 + -66

Combine like terms: 11 + -66 = -55
-11m = -55

Divide each side by '-11'.
m = 5

Simplifying
m = 5

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