7(m+9)=3(14m-8)-6m

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Solution for 7(m+9)=3(14m-8)-6m equation:


Simplifying
7(m + 9) = 3(14m + -8) + -6m

Reorder the terms:
7(9 + m) = 3(14m + -8) + -6m
(9 * 7 + m * 7) = 3(14m + -8) + -6m
(63 + 7m) = 3(14m + -8) + -6m

Reorder the terms:
63 + 7m = 3(-8 + 14m) + -6m
63 + 7m = (-8 * 3 + 14m * 3) + -6m
63 + 7m = (-24 + 42m) + -6m

Combine like terms: 42m + -6m = 36m
63 + 7m = -24 + 36m

Solving
63 + 7m = -24 + 36m

Solving for variable 'm'.

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

Add '-36m' to each side of the equation.
63 + 7m + -36m = -24 + 36m + -36m

Combine like terms: 7m + -36m = -29m
63 + -29m = -24 + 36m + -36m

Combine like terms: 36m + -36m = 0
63 + -29m = -24 + 0
63 + -29m = -24

Add '-63' to each side of the equation.
63 + -63 + -29m = -24 + -63

Combine like terms: 63 + -63 = 0
0 + -29m = -24 + -63
-29m = -24 + -63

Combine like terms: -24 + -63 = -87
-29m = -87

Divide each side by '-29'.
m = 3

Simplifying
m = 3

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