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

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


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

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

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

Combine like terms: -2m + -3m = -5m
6 + -5m = 2m + -1

Reorder the terms:
6 + -5m = -1 + 2m

Solving
6 + -5m = -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.
6 + -5m + -2m = -1 + 2m + -2m

Combine like terms: -5m + -2m = -7m
6 + -7m = -1 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -7m = -1 + 0
6 + -7m = -1

Add '-6' to each side of the equation.
6 + -6 + -7m = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7m = -1 + -6
-7m = -1 + -6

Combine like terms: -1 + -6 = -7
-7m = -7

Divide each side by '-7'.
m = 1

Simplifying
m = 1

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