6+(2m-3)-3m=2m-18+m

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Solution for 6+(2m-3)-3m=2m-18+m equation:


Simplifying
6 + (2m + -3) + -3m = 2m + -18 + m

Reorder the terms:
6 + (-3 + 2m) + -3m = 2m + -18 + m

Remove parenthesis around (-3 + 2m)
6 + -3 + 2m + -3m = 2m + -18 + m

Combine like terms: 6 + -3 = 3
3 + 2m + -3m = 2m + -18 + m

Combine like terms: 2m + -3m = -1m
3 + -1m = 2m + -18 + m

Reorder the terms:
3 + -1m = -18 + 2m + m

Combine like terms: 2m + m = 3m
3 + -1m = -18 + 3m

Solving
3 + -1m = -18 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
3 + -1m + -3m = -18 + 3m + -3m

Combine like terms: -1m + -3m = -4m
3 + -4m = -18 + 3m + -3m

Combine like terms: 3m + -3m = 0
3 + -4m = -18 + 0
3 + -4m = -18

Add '-3' to each side of the equation.
3 + -3 + -4m = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = -18 + -3
-4m = -18 + -3

Combine like terms: -18 + -3 = -21
-4m = -21

Divide each side by '-4'.
m = 5.25

Simplifying
m = 5.25

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