-3(2m-5)=4(5m-1)+6

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Solution for -3(2m-5)=4(5m-1)+6 equation:


Simplifying
-3(2m + -5) = 4(5m + -1) + 6

Reorder the terms:
-3(-5 + 2m) = 4(5m + -1) + 6
(-5 * -3 + 2m * -3) = 4(5m + -1) + 6
(15 + -6m) = 4(5m + -1) + 6

Reorder the terms:
15 + -6m = 4(-1 + 5m) + 6
15 + -6m = (-1 * 4 + 5m * 4) + 6
15 + -6m = (-4 + 20m) + 6

Reorder the terms:
15 + -6m = -4 + 6 + 20m

Combine like terms: -4 + 6 = 2
15 + -6m = 2 + 20m

Solving
15 + -6m = 2 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
15 + -6m + -20m = 2 + 20m + -20m

Combine like terms: -6m + -20m = -26m
15 + -26m = 2 + 20m + -20m

Combine like terms: 20m + -20m = 0
15 + -26m = 2 + 0
15 + -26m = 2

Add '-15' to each side of the equation.
15 + -15 + -26m = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -26m = 2 + -15
-26m = 2 + -15

Combine like terms: 2 + -15 = -13
-26m = -13

Divide each side by '-26'.
m = 0.5

Simplifying
m = 0.5

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