3m-4(m+6)=2(3m-4)+10

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Solution for 3m-4(m+6)=2(3m-4)+10 equation:


Simplifying
3m + -4(m + 6) = 2(3m + -4) + 10

Reorder the terms:
3m + -4(6 + m) = 2(3m + -4) + 10
3m + (6 * -4 + m * -4) = 2(3m + -4) + 10
3m + (-24 + -4m) = 2(3m + -4) + 10

Reorder the terms:
-24 + 3m + -4m = 2(3m + -4) + 10

Combine like terms: 3m + -4m = -1m
-24 + -1m = 2(3m + -4) + 10

Reorder the terms:
-24 + -1m = 2(-4 + 3m) + 10
-24 + -1m = (-4 * 2 + 3m * 2) + 10
-24 + -1m = (-8 + 6m) + 10

Reorder the terms:
-24 + -1m = -8 + 10 + 6m

Combine like terms: -8 + 10 = 2
-24 + -1m = 2 + 6m

Solving
-24 + -1m = 2 + 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.
-24 + -1m + -6m = 2 + 6m + -6m

Combine like terms: -1m + -6m = -7m
-24 + -7m = 2 + 6m + -6m

Combine like terms: 6m + -6m = 0
-24 + -7m = 2 + 0
-24 + -7m = 2

Add '24' to each side of the equation.
-24 + 24 + -7m = 2 + 24

Combine like terms: -24 + 24 = 0
0 + -7m = 2 + 24
-7m = 2 + 24

Combine like terms: 2 + 24 = 26
-7m = 26

Divide each side by '-7'.
m = -3.714285714

Simplifying
m = -3.714285714

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