7(3-m)+6=6(m-2)

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


Simplifying
7(3 + -1m) + 6 = 6(m + -2)
(3 * 7 + -1m * 7) + 6 = 6(m + -2)
(21 + -7m) + 6 = 6(m + -2)

Reorder the terms:
21 + 6 + -7m = 6(m + -2)

Combine like terms: 21 + 6 = 27
27 + -7m = 6(m + -2)

Reorder the terms:
27 + -7m = 6(-2 + m)
27 + -7m = (-2 * 6 + m * 6)
27 + -7m = (-12 + 6m)

Solving
27 + -7m = -12 + 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.
27 + -7m + -6m = -12 + 6m + -6m

Combine like terms: -7m + -6m = -13m
27 + -13m = -12 + 6m + -6m

Combine like terms: 6m + -6m = 0
27 + -13m = -12 + 0
27 + -13m = -12

Add '-27' to each side of the equation.
27 + -27 + -13m = -12 + -27

Combine like terms: 27 + -27 = 0
0 + -13m = -12 + -27
-13m = -12 + -27

Combine like terms: -12 + -27 = -39
-13m = -39

Divide each side by '-13'.
m = 3

Simplifying
m = 3

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