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

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


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

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

Reorder the terms:
2 + 2m + -3(-3 + 2m) = 2m + -1
2 + 2m + (-3 * -3 + 2m * -3) = 2m + -1
2 + 2m + (9 + -6m) = 2m + -1

Reorder the terms:
2 + 9 + 2m + -6m = 2m + -1

Combine like terms: 2 + 9 = 11
11 + 2m + -6m = 2m + -1

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

Reorder the terms:
11 + -4m = -1 + 2m

Solving
11 + -4m = -1 + 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.
11 + -4m + -2m = -1 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
11 + -6m = -1 + 0
11 + -6m = -1

Add '-11' to each side of the equation.
11 + -11 + -6m = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -6m = -1 + -11
-6m = -1 + -11

Combine like terms: -1 + -11 = -12
-6m = -12

Divide each side by '-6'.
m = 2

Simplifying
m = 2

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