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

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


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

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

Combine like terms: 11 + 3 = 14
14 + -3m = 2(m + 2)

Reorder the terms:
14 + -3m = 2(2 + m)
14 + -3m = (2 * 2 + m * 2)
14 + -3m = (4 + 2m)

Solving
14 + -3m = 4 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
14 + -3m + -2m = 4 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
14 + -5m = 4 + 0
14 + -5m = 4

Add '-14' to each side of the equation.
14 + -14 + -5m = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -5m = 4 + -14
-5m = 4 + -14

Combine like terms: 4 + -14 = -10
-5m = -10

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

Simplifying
m = 2

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