6m+(m+7)=m-14

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Solution for 6m+(m+7)=m-14 equation:


Simplifying
6m + (m + 7) = m + -14

Reorder the terms:
6m + (7 + m) = m + -14

Remove parenthesis around (7 + m)
6m + 7 + m = m + -14

Reorder the terms:
7 + 6m + m = m + -14

Combine like terms: 6m + m = 7m
7 + 7m = m + -14

Reorder the terms:
7 + 7m = -14 + m

Solving
7 + 7m = -14 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
7 + 7m + -1m = -14 + m + -1m

Combine like terms: 7m + -1m = 6m
7 + 6m = -14 + m + -1m

Combine like terms: m + -1m = 0
7 + 6m = -14 + 0
7 + 6m = -14

Add '-7' to each side of the equation.
7 + -7 + 6m = -14 + -7

Combine like terms: 7 + -7 = 0
0 + 6m = -14 + -7
6m = -14 + -7

Combine like terms: -14 + -7 = -21
6m = -21

Divide each side by '6'.
m = -3.5

Simplifying
m = -3.5

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