2(3m+1)-4(3m-5)=25

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Solution for 2(3m+1)-4(3m-5)=25 equation: 


Simplifying
2(3m + 1) + -4(3m + -5) = 25

Reorder the terms:
2(1 + 3m) + -4(3m + -5) = 25
(1 * 2 + 3m * 2) + -4(3m + -5) = 25
(2 + 6m) + -4(3m + -5) = 25

Reorder the terms:
2 + 6m + -4(-5 + 3m) = 25
2 + 6m + (-5 * -4 + 3m * -4) = 25
2 + 6m + (20 + -12m) = 25

Reorder the terms:
2 + 20 + 6m + -12m = 25

Combine like terms: 2 + 20 = 22
22 + 6m + -12m = 25

Combine like terms: 6m + -12m = -6m
22 + -6m = 25

Solving
22 + -6m = 25

Solving for variable 'm'.

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

Add '-22' to each side of the equation.
22 + -22 + -6m = 25 + -22

Combine like terms: 22 + -22 = 0
0 + -6m = 25 + -22
-6m = 25 + -22

Combine like terms: 25 + -22 = 3
-6m = 3

Divide each side by '-6'.
m = -0.5

Simplifying
m = -0.5

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