-7(m-4)=3(m+2)+m

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Solution for -7(m-4)=3(m+2)+m equation:


Simplifying
-7(m + -4) = 3(m + 2) + m

Reorder the terms:
-7(-4 + m) = 3(m + 2) + m
(-4 * -7 + m * -7) = 3(m + 2) + m
(28 + -7m) = 3(m + 2) + m

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

Combine like terms: 3m + m = 4m
28 + -7m = 6 + 4m

Solving
28 + -7m = 6 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
28 + -7m + -4m = 6 + 4m + -4m

Combine like terms: -7m + -4m = -11m
28 + -11m = 6 + 4m + -4m

Combine like terms: 4m + -4m = 0
28 + -11m = 6 + 0
28 + -11m = 6

Add '-28' to each side of the equation.
28 + -28 + -11m = 6 + -28

Combine like terms: 28 + -28 = 0
0 + -11m = 6 + -28
-11m = 6 + -28

Combine like terms: 6 + -28 = -22
-11m = -22

Divide each side by '-11'.
m = 2

Simplifying
m = 2

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