6(m+6)-5(6m-1)=-25(m-1)-10

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Solution for 6(m+6)-5(6m-1)=-25(m-1)-10 equation:


Simplifying
6(m + 6) + -5(6m + -1) = -25(m + -1) + -10

Reorder the terms:
6(6 + m) + -5(6m + -1) = -25(m + -1) + -10
(6 * 6 + m * 6) + -5(6m + -1) = -25(m + -1) + -10
(36 + 6m) + -5(6m + -1) = -25(m + -1) + -10

Reorder the terms:
36 + 6m + -5(-1 + 6m) = -25(m + -1) + -10
36 + 6m + (-1 * -5 + 6m * -5) = -25(m + -1) + -10
36 + 6m + (5 + -30m) = -25(m + -1) + -10

Reorder the terms:
36 + 5 + 6m + -30m = -25(m + -1) + -10

Combine like terms: 36 + 5 = 41
41 + 6m + -30m = -25(m + -1) + -10

Combine like terms: 6m + -30m = -24m
41 + -24m = -25(m + -1) + -10

Reorder the terms:
41 + -24m = -25(-1 + m) + -10
41 + -24m = (-1 * -25 + m * -25) + -10
41 + -24m = (25 + -25m) + -10

Reorder the terms:
41 + -24m = 25 + -10 + -25m

Combine like terms: 25 + -10 = 15
41 + -24m = 15 + -25m

Solving
41 + -24m = 15 + -25m

Solving for variable 'm'.

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

Add '25m' to each side of the equation.
41 + -24m + 25m = 15 + -25m + 25m

Combine like terms: -24m + 25m = 1m
41 + 1m = 15 + -25m + 25m

Combine like terms: -25m + 25m = 0
41 + 1m = 15 + 0
41 + 1m = 15

Add '-41' to each side of the equation.
41 + -41 + 1m = 15 + -41

Combine like terms: 41 + -41 = 0
0 + 1m = 15 + -41
1m = 15 + -41

Combine like terms: 15 + -41 = -26
1m = -26

Divide each side by '1'.
m = -26

Simplifying
m = -26

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