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

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


Simplifying
2(m + 1) + -3(m + -2) = m + 6

Reorder the terms:
2(1 + m) + -3(m + -2) = m + 6
(1 * 2 + m * 2) + -3(m + -2) = m + 6
(2 + 2m) + -3(m + -2) = m + 6

Reorder the terms:
2 + 2m + -3(-2 + m) = m + 6
2 + 2m + (-2 * -3 + m * -3) = m + 6
2 + 2m + (6 + -3m) = m + 6

Reorder the terms:
2 + 6 + 2m + -3m = m + 6

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

Combine like terms: 2m + -3m = -1m
8 + -1m = m + 6

Reorder the terms:
8 + -1m = 6 + m

Solving
8 + -1m = 6 + m

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.
8 + -1m + -1m = 6 + m + -1m

Combine like terms: -1m + -1m = -2m
8 + -2m = 6 + m + -1m

Combine like terms: m + -1m = 0
8 + -2m = 6 + 0
8 + -2m = 6

Add '-8' to each side of the equation.
8 + -8 + -2m = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -2m = 6 + -8
-2m = 6 + -8

Combine like terms: 6 + -8 = -2
-2m = -2

Divide each side by '-2'.
m = 1

Simplifying
m = 1

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