-3m+39-9(m-1)=7m-(4m-5)-2m+4

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Solution for -3m+39-9(m-1)=7m-(4m-5)-2m+4 equation: 


Simplifying
-3m + 39 + -9(m + -1) = 7m + -1(4m + -5) + -2m + 4

Reorder the terms:
-3m + 39 + -9(-1 + m) = 7m + -1(4m + -5) + -2m + 4
-3m + 39 + (-1 * -9 + m * -9) = 7m + -1(4m + -5) + -2m + 4
-3m + 39 + (9 + -9m) = 7m + -1(4m + -5) + -2m + 4

Reorder the terms:
39 + 9 + -3m + -9m = 7m + -1(4m + -5) + -2m + 4

Combine like terms: 39 + 9 = 48
48 + -3m + -9m = 7m + -1(4m + -5) + -2m + 4

Combine like terms: -3m + -9m = -12m
48 + -12m = 7m + -1(4m + -5) + -2m + 4

Reorder the terms:
48 + -12m = 7m + -1(-5 + 4m) + -2m + 4
48 + -12m = 7m + (-5 * -1 + 4m * -1) + -2m + 4
48 + -12m = 7m + (5 + -4m) + -2m + 4

Reorder the terms:
48 + -12m = 5 + 4 + 7m + -4m + -2m

Combine like terms: 5 + 4 = 9
48 + -12m = 9 + 7m + -4m + -2m

Combine like terms: 7m + -4m = 3m
48 + -12m = 9 + 3m + -2m

Combine like terms: 3m + -2m = 1m
48 + -12m = 9 + 1m

Solving
48 + -12m = 9 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
48 + -12m + -1m = 9 + 1m + -1m

Combine like terms: -12m + -1m = -13m
48 + -13m = 9 + 1m + -1m

Combine like terms: 1m + -1m = 0
48 + -13m = 9 + 0
48 + -13m = 9

Add '-48' to each side of the equation.
48 + -48 + -13m = 9 + -48

Combine like terms: 48 + -48 = 0
0 + -13m = 9 + -48
-13m = 9 + -48

Combine like terms: 9 + -48 = -39
-13m = -39

Divide each side by '-13'.
m = 3

Simplifying
m = 3

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