-7m+43-2(m-2)=5m-(3m-3)-4m+9

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Solution for -7m+43-2(m-2)=5m-(3m-3)-4m+9 equation: 


Simplifying
-7m + 43 + -2(m + -2) = 5m + -1(3m + -3) + -4m + 9

Reorder the terms:
-7m + 43 + -2(-2 + m) = 5m + -1(3m + -3) + -4m + 9
-7m + 43 + (-2 * -2 + m * -2) = 5m + -1(3m + -3) + -4m + 9
-7m + 43 + (4 + -2m) = 5m + -1(3m + -3) + -4m + 9

Reorder the terms:
43 + 4 + -7m + -2m = 5m + -1(3m + -3) + -4m + 9

Combine like terms: 43 + 4 = 47
47 + -7m + -2m = 5m + -1(3m + -3) + -4m + 9

Combine like terms: -7m + -2m = -9m
47 + -9m = 5m + -1(3m + -3) + -4m + 9

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

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

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

Combine like terms: 5m + -3m = 2m
47 + -9m = 12 + 2m + -4m

Combine like terms: 2m + -4m = -2m
47 + -9m = 12 + -2m

Solving
47 + -9m = 12 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
47 + -9m + 2m = 12 + -2m + 2m

Combine like terms: -9m + 2m = -7m
47 + -7m = 12 + -2m + 2m

Combine like terms: -2m + 2m = 0
47 + -7m = 12 + 0
47 + -7m = 12

Add '-47' to each side of the equation.
47 + -47 + -7m = 12 + -47

Combine like terms: 47 + -47 = 0
0 + -7m = 12 + -47
-7m = 12 + -47

Combine like terms: 12 + -47 = -35
-7m = -35

Divide each side by '-7'.
m = 5

Simplifying
m = 5

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