2(1+m)=3(4m+3)-11m

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Solution for 2(1+m)=3(4m+3)-11m equation: 


Simplifying
2(1 + m) = 3(4m + 3) + -11m
(1 * 2 + m * 2) = 3(4m + 3) + -11m
(2 + 2m) = 3(4m + 3) + -11m

Reorder the terms:
2 + 2m = 3(3 + 4m) + -11m
2 + 2m = (3 * 3 + 4m * 3) + -11m
2 + 2m = (9 + 12m) + -11m

Combine like terms: 12m + -11m = 1m
2 + 2m = 9 + 1m

Solving
2 + 2m = 9 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
2 + 2m + -1m = 9 + 1m + -1m

Combine like terms: 2m + -1m = 1m
2 + 1m = 9 + 1m + -1m

Combine like terms: 1m + -1m = 0
2 + 1m = 9 + 0
2 + 1m = 9

Add '-2' to each side of the equation.
2 + -2 + 1m = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1m = 9 + -2
1m = 9 + -2

Combine like terms: 9 + -2 = 7
1m = 7

Divide each side by '1'.
m = 7

Simplifying
m = 7

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