-9m+35-5(m-2)=7m-(3m-4)-5m+2

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Solution for -9m+35-5(m-2)=7m-(3m-4)-5m+2 equation:


Simplifying
-9m + 35 + -5(m + -2) = 7m + -1(3m + -4) + -5m + 2

Reorder the terms:
-9m + 35 + -5(-2 + m) = 7m + -1(3m + -4) + -5m + 2
-9m + 35 + (-2 * -5 + m * -5) = 7m + -1(3m + -4) + -5m + 2
-9m + 35 + (10 + -5m) = 7m + -1(3m + -4) + -5m + 2

Reorder the terms:
35 + 10 + -9m + -5m = 7m + -1(3m + -4) + -5m + 2

Combine like terms: 35 + 10 = 45
45 + -9m + -5m = 7m + -1(3m + -4) + -5m + 2

Combine like terms: -9m + -5m = -14m
45 + -14m = 7m + -1(3m + -4) + -5m + 2

Reorder the terms:
45 + -14m = 7m + -1(-4 + 3m) + -5m + 2
45 + -14m = 7m + (-4 * -1 + 3m * -1) + -5m + 2
45 + -14m = 7m + (4 + -3m) + -5m + 2

Reorder the terms:
45 + -14m = 4 + 2 + 7m + -3m + -5m

Combine like terms: 4 + 2 = 6
45 + -14m = 6 + 7m + -3m + -5m

Combine like terms: 7m + -3m = 4m
45 + -14m = 6 + 4m + -5m

Combine like terms: 4m + -5m = -1m
45 + -14m = 6 + -1m

Solving
45 + -14m = 6 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
45 + -14m + m = 6 + -1m + m

Combine like terms: -14m + m = -13m
45 + -13m = 6 + -1m + m

Combine like terms: -1m + m = 0
45 + -13m = 6 + 0
45 + -13m = 6

Add '-45' to each side of the equation.
45 + -45 + -13m = 6 + -45

Combine like terms: 45 + -45 = 0
0 + -13m = 6 + -45
-13m = 6 + -45

Combine like terms: 6 + -45 = -39
-13m = -39

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

Simplifying
m = 3

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