7(2-m)=3m-6

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Solution for 7(2-m)=3m-6 equation:


Simplifying
7(2 + -1m) = 3m + -6
(2 * 7 + -1m * 7) = 3m + -6
(14 + -7m) = 3m + -6

Reorder the terms:
14 + -7m = -6 + 3m

Solving
14 + -7m = -6 + 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.
14 + -7m + -3m = -6 + 3m + -3m

Combine like terms: -7m + -3m = -10m
14 + -10m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
14 + -10m = -6 + 0
14 + -10m = -6

Add '-14' to each side of the equation.
14 + -14 + -10m = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -10m = -6 + -14
-10m = -6 + -14

Combine like terms: -6 + -14 = -20
-10m = -20

Divide each side by '-10'.
m = 2

Simplifying
m = 2

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