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

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Solution for 7-(m-4)=3m+2(m+1) equation: 


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

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

Combine like terms: 7 + 4 = 11
11 + -1m = 3m + 2(m + 1)

Reorder the terms:
11 + -1m = 3m + 2(1 + m)
11 + -1m = 3m + (1 * 2 + m * 2)
11 + -1m = 3m + (2 + 2m)

Reorder the terms:
11 + -1m = 2 + 3m + 2m

Combine like terms: 3m + 2m = 5m
11 + -1m = 2 + 5m

Solving
11 + -1m = 2 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
11 + -1m + -5m = 2 + 5m + -5m

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

Combine like terms: 5m + -5m = 0
11 + -6m = 2 + 0
11 + -6m = 2

Add '-11' to each side of the equation.
11 + -11 + -6m = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -6m = 2 + -11
-6m = 2 + -11

Combine like terms: 2 + -11 = -9
-6m = -9

Divide each side by '-6'.
m = 1.5

Simplifying
m = 1.5

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