7m-4(m+6)=7(m-8)+4

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Solution for 7m-4(m+6)=7(m-8)+4 equation:


Simplifying
7m + -4(m + 6) = 7(m + -8) + 4

Reorder the terms:
7m + -4(6 + m) = 7(m + -8) + 4
7m + (6 * -4 + m * -4) = 7(m + -8) + 4
7m + (-24 + -4m) = 7(m + -8) + 4

Reorder the terms:
-24 + 7m + -4m = 7(m + -8) + 4

Combine like terms: 7m + -4m = 3m
-24 + 3m = 7(m + -8) + 4

Reorder the terms:
-24 + 3m = 7(-8 + m) + 4
-24 + 3m = (-8 * 7 + m * 7) + 4
-24 + 3m = (-56 + 7m) + 4

Reorder the terms:
-24 + 3m = -56 + 4 + 7m

Combine like terms: -56 + 4 = -52
-24 + 3m = -52 + 7m

Solving
-24 + 3m = -52 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-24 + 3m + -7m = -52 + 7m + -7m

Combine like terms: 3m + -7m = -4m
-24 + -4m = -52 + 7m + -7m

Combine like terms: 7m + -7m = 0
-24 + -4m = -52 + 0
-24 + -4m = -52

Add '24' to each side of the equation.
-24 + 24 + -4m = -52 + 24

Combine like terms: -24 + 24 = 0
0 + -4m = -52 + 24
-4m = -52 + 24

Combine like terms: -52 + 24 = -28
-4m = -28

Divide each side by '-4'.
m = 7

Simplifying
m = 7

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