10m-(3m-2)=4(3-m)-7

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Solution for 10m-(3m-2)=4(3-m)-7 equation: 


Simplifying
10m + -1(3m + -2) = 4(3 + -1m) + -7

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

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

Combine like terms: 10m + -3m = 7m
2 + 7m = 4(3 + -1m) + -7
2 + 7m = (3 * 4 + -1m * 4) + -7
2 + 7m = (12 + -4m) + -7

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

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

Solving
2 + 7m = 5 + -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.
2 + 7m + 4m = 5 + -4m + 4m

Combine like terms: 7m + 4m = 11m
2 + 11m = 5 + -4m + 4m

Combine like terms: -4m + 4m = 0
2 + 11m = 5 + 0
2 + 11m = 5

Add '-2' to each side of the equation.
2 + -2 + 11m = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 11m = 5 + -2
11m = 5 + -2

Combine like terms: 5 + -2 = 3
11m = 3

Divide each side by '11'.
m = 0.2727272727

Simplifying
m = 0.2727272727

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