2(4-4m)+3(1+4m)=6-2m+m-5

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Solution for 2(4-4m)+3(1+4m)=6-2m+m-5 equation:


Simplifying
2(4 + -4m) + 3(1 + 4m) = 6 + -2m + m + -5
(4 * 2 + -4m * 2) + 3(1 + 4m) = 6 + -2m + m + -5
(8 + -8m) + 3(1 + 4m) = 6 + -2m + m + -5
8 + -8m + (1 * 3 + 4m * 3) = 6 + -2m + m + -5
8 + -8m + (3 + 12m) = 6 + -2m + m + -5

Reorder the terms:
8 + 3 + -8m + 12m = 6 + -2m + m + -5

Combine like terms: 8 + 3 = 11
11 + -8m + 12m = 6 + -2m + m + -5

Combine like terms: -8m + 12m = 4m
11 + 4m = 6 + -2m + m + -5

Reorder the terms:
11 + 4m = 6 + -5 + -2m + m

Combine like terms: 6 + -5 = 1
11 + 4m = 1 + -2m + m

Combine like terms: -2m + m = -1m
11 + 4m = 1 + -1m

Solving
11 + 4m = 1 + -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.
11 + 4m + m = 1 + -1m + m

Combine like terms: 4m + m = 5m
11 + 5m = 1 + -1m + m

Combine like terms: -1m + m = 0
11 + 5m = 1 + 0
11 + 5m = 1

Add '-11' to each side of the equation.
11 + -11 + 5m = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 5m = 1 + -11
5m = 1 + -11

Combine like terms: 1 + -11 = -10
5m = -10

Divide each side by '5'.
m = -2

Simplifying
m = -2

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