6(m+2)-14=4+3(m+1)

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Solution for 6(m+2)-14=4+3(m+1) equation:


Simplifying
6(m + 2) + -14 = 4 + 3(m + 1)

Reorder the terms:
6(2 + m) + -14 = 4 + 3(m + 1)
(2 * 6 + m * 6) + -14 = 4 + 3(m + 1)
(12 + 6m) + -14 = 4 + 3(m + 1)

Reorder the terms:
12 + -14 + 6m = 4 + 3(m + 1)

Combine like terms: 12 + -14 = -2
-2 + 6m = 4 + 3(m + 1)

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

Combine like terms: 4 + 3 = 7
-2 + 6m = 7 + 3m

Solving
-2 + 6m = 7 + 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.
-2 + 6m + -3m = 7 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-2 + 3m = 7 + 3m + -3m

Combine like terms: 3m + -3m = 0
-2 + 3m = 7 + 0
-2 + 3m = 7

Add '2' to each side of the equation.
-2 + 2 + 3m = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3m = 7 + 2
3m = 7 + 2

Combine like terms: 7 + 2 = 9
3m = 9

Divide each side by '3'.
m = 3

Simplifying
m = 3

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