-7m+37-5(m-2)=9m-(8m-4)-5m+3

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Solution for -7m+37-5(m-2)=9m-(8m-4)-5m+3 equation:


Simplifying
-7m + 37 + -5(m + -2) = 9m + -1(8m + -4) + -5m + 3

Reorder the terms:
-7m + 37 + -5(-2 + m) = 9m + -1(8m + -4) + -5m + 3
-7m + 37 + (-2 * -5 + m * -5) = 9m + -1(8m + -4) + -5m + 3
-7m + 37 + (10 + -5m) = 9m + -1(8m + -4) + -5m + 3

Reorder the terms:
37 + 10 + -7m + -5m = 9m + -1(8m + -4) + -5m + 3

Combine like terms: 37 + 10 = 47
47 + -7m + -5m = 9m + -1(8m + -4) + -5m + 3

Combine like terms: -7m + -5m = -12m
47 + -12m = 9m + -1(8m + -4) + -5m + 3

Reorder the terms:
47 + -12m = 9m + -1(-4 + 8m) + -5m + 3
47 + -12m = 9m + (-4 * -1 + 8m * -1) + -5m + 3
47 + -12m = 9m + (4 + -8m) + -5m + 3

Reorder the terms:
47 + -12m = 4 + 3 + 9m + -8m + -5m

Combine like terms: 4 + 3 = 7
47 + -12m = 7 + 9m + -8m + -5m

Combine like terms: 9m + -8m = 1m
47 + -12m = 7 + 1m + -5m

Combine like terms: 1m + -5m = -4m
47 + -12m = 7 + -4m

Solving
47 + -12m = 7 + -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.
47 + -12m + 4m = 7 + -4m + 4m

Combine like terms: -12m + 4m = -8m
47 + -8m = 7 + -4m + 4m

Combine like terms: -4m + 4m = 0
47 + -8m = 7 + 0
47 + -8m = 7

Add '-47' to each side of the equation.
47 + -47 + -8m = 7 + -47

Combine like terms: 47 + -47 = 0
0 + -8m = 7 + -47
-8m = 7 + -47

Combine like terms: 7 + -47 = -40
-8m = -40

Divide each side by '-8'.
m = 5

Simplifying
m = 5

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