m-7=2(3m+14)

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Solution for m-7=2(3m+14) equation:


Simplifying
m + -7 = 2(3m + 14)

Reorder the terms:
-7 + m = 2(3m + 14)

Reorder the terms:
-7 + m = 2(14 + 3m)
-7 + m = (14 * 2 + 3m * 2)
-7 + m = (28 + 6m)

Solving
-7 + m = 28 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-7 + m + -6m = 28 + 6m + -6m

Combine like terms: m + -6m = -5m
-7 + -5m = 28 + 6m + -6m

Combine like terms: 6m + -6m = 0
-7 + -5m = 28 + 0
-7 + -5m = 28

Add '7' to each side of the equation.
-7 + 7 + -5m = 28 + 7

Combine like terms: -7 + 7 = 0
0 + -5m = 28 + 7
-5m = 28 + 7

Combine like terms: 28 + 7 = 35
-5m = 35

Divide each side by '-5'.
m = -7

Simplifying
m = -7

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