6(5m+4m+3)-2+m=(9m+8m+7)2

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Solution for 6(5m+4m+3)-2+m=(9m+8m+7)2 equation:


Simplifying
6(5m + 4m + 3) + -2 + m = (9m + 8m + 7) * 2

Reorder the terms:
6(3 + 5m + 4m) + -2 + m = (9m + 8m + 7) * 2

Combine like terms: 5m + 4m = 9m
6(3 + 9m) + -2 + m = (9m + 8m + 7) * 2
(3 * 6 + 9m * 6) + -2 + m = (9m + 8m + 7) * 2
(18 + 54m) + -2 + m = (9m + 8m + 7) * 2

Reorder the terms:
18 + -2 + 54m + m = (9m + 8m + 7) * 2

Combine like terms: 18 + -2 = 16
16 + 54m + m = (9m + 8m + 7) * 2

Combine like terms: 54m + m = 55m
16 + 55m = (9m + 8m + 7) * 2

Reorder the terms:
16 + 55m = (7 + 9m + 8m) * 2

Combine like terms: 9m + 8m = 17m
16 + 55m = (7 + 17m) * 2

Reorder the terms for easier multiplication:
16 + 55m = 2(7 + 17m)
16 + 55m = (7 * 2 + 17m * 2)
16 + 55m = (14 + 34m)

Solving
16 + 55m = 14 + 34m

Solving for variable 'm'.

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

Add '-34m' to each side of the equation.
16 + 55m + -34m = 14 + 34m + -34m

Combine like terms: 55m + -34m = 21m
16 + 21m = 14 + 34m + -34m

Combine like terms: 34m + -34m = 0
16 + 21m = 14 + 0
16 + 21m = 14

Add '-16' to each side of the equation.
16 + -16 + 21m = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 21m = 14 + -16
21m = 14 + -16

Combine like terms: 14 + -16 = -2
21m = -2

Divide each side by '21'.
m = -0.09523809524

Simplifying
m = -0.09523809524

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