6(3m+2)+4=9(2m+1)-m

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Solution for 6(3m+2)+4=9(2m+1)-m equation: 


Simplifying
6(3m + 2) + 4 = 9(2m + 1) + -1m

Reorder the terms:
6(2 + 3m) + 4 = 9(2m + 1) + -1m
(2 * 6 + 3m * 6) + 4 = 9(2m + 1) + -1m
(12 + 18m) + 4 = 9(2m + 1) + -1m

Reorder the terms:
12 + 4 + 18m = 9(2m + 1) + -1m

Combine like terms: 12 + 4 = 16
16 + 18m = 9(2m + 1) + -1m

Reorder the terms:
16 + 18m = 9(1 + 2m) + -1m
16 + 18m = (1 * 9 + 2m * 9) + -1m
16 + 18m = (9 + 18m) + -1m

Combine like terms: 18m + -1m = 17m
16 + 18m = 9 + 17m

Solving
16 + 18m = 9 + 17m

Solving for variable 'm'.

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

Add '-17m' to each side of the equation.
16 + 18m + -17m = 9 + 17m + -17m

Combine like terms: 18m + -17m = 1m
16 + 1m = 9 + 17m + -17m

Combine like terms: 17m + -17m = 0
16 + 1m = 9 + 0
16 + 1m = 9

Add '-16' to each side of the equation.
16 + -16 + 1m = 9 + -16

Combine like terms: 16 + -16 = 0
0 + 1m = 9 + -16
1m = 9 + -16

Combine like terms: 9 + -16 = -7
1m = -7

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

Simplifying
m = -7

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