-9m+49-2(m-3)=6m-(3m-8)-7m+5

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Solution for -9m+49-2(m-3)=6m-(3m-8)-7m+5 equation: 


Simplifying
-9m + 49 + -2(m + -3) = 6m + -1(3m + -8) + -7m + 5

Reorder the terms:
-9m + 49 + -2(-3 + m) = 6m + -1(3m + -8) + -7m + 5
-9m + 49 + (-3 * -2 + m * -2) = 6m + -1(3m + -8) + -7m + 5
-9m + 49 + (6 + -2m) = 6m + -1(3m + -8) + -7m + 5

Reorder the terms:
49 + 6 + -9m + -2m = 6m + -1(3m + -8) + -7m + 5

Combine like terms: 49 + 6 = 55
55 + -9m + -2m = 6m + -1(3m + -8) + -7m + 5

Combine like terms: -9m + -2m = -11m
55 + -11m = 6m + -1(3m + -8) + -7m + 5

Reorder the terms:
55 + -11m = 6m + -1(-8 + 3m) + -7m + 5
55 + -11m = 6m + (-8 * -1 + 3m * -1) + -7m + 5
55 + -11m = 6m + (8 + -3m) + -7m + 5

Reorder the terms:
55 + -11m = 8 + 5 + 6m + -3m + -7m

Combine like terms: 8 + 5 = 13
55 + -11m = 13 + 6m + -3m + -7m

Combine like terms: 6m + -3m = 3m
55 + -11m = 13 + 3m + -7m

Combine like terms: 3m + -7m = -4m
55 + -11m = 13 + -4m

Solving
55 + -11m = 13 + -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.
55 + -11m + 4m = 13 + -4m + 4m

Combine like terms: -11m + 4m = -7m
55 + -7m = 13 + -4m + 4m

Combine like terms: -4m + 4m = 0
55 + -7m = 13 + 0
55 + -7m = 13

Add '-55' to each side of the equation.
55 + -55 + -7m = 13 + -55

Combine like terms: 55 + -55 = 0
0 + -7m = 13 + -55
-7m = 13 + -55

Combine like terms: 13 + -55 = -42
-7m = -42

Divide each side by '-7'.
m = 6

Simplifying
m = 6

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