6m+5-3m=7(m+1)

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Solution for 6m+5-3m=7(m+1) equation:


Simplifying
6m + 5 + -3m = 7(m + 1)

Reorder the terms:
5 + 6m + -3m = 7(m + 1)

Combine like terms: 6m + -3m = 3m
5 + 3m = 7(m + 1)

Reorder the terms:
5 + 3m = 7(1 + m)
5 + 3m = (1 * 7 + m * 7)
5 + 3m = (7 + 7m)

Solving
5 + 3m = 7 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
5 + 3m + -7m = 7 + 7m + -7m

Combine like terms: 3m + -7m = -4m
5 + -4m = 7 + 7m + -7m

Combine like terms: 7m + -7m = 0
5 + -4m = 7 + 0
5 + -4m = 7

Add '-5' to each side of the equation.
5 + -5 + -4m = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -4m = 7 + -5
-4m = 7 + -5

Combine like terms: 7 + -5 = 2
-4m = 2

Divide each side by '-4'.
m = -0.5

Simplifying
m = -0.5

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