-5(2m-6)+11(m-3)=11-8

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Solution for -5(2m-6)+11(m-3)=11-8 equation: 


Simplifying
-5(2m + -6) + 11(m + -3) = 11 + -8

Reorder the terms:
-5(-6 + 2m) + 11(m + -3) = 11 + -8
(-6 * -5 + 2m * -5) + 11(m + -3) = 11 + -8
(30 + -10m) + 11(m + -3) = 11 + -8

Reorder the terms:
30 + -10m + 11(-3 + m) = 11 + -8
30 + -10m + (-3 * 11 + m * 11) = 11 + -8
30 + -10m + (-33 + 11m) = 11 + -8

Reorder the terms:
30 + -33 + -10m + 11m = 11 + -8

Combine like terms: 30 + -33 = -3
-3 + -10m + 11m = 11 + -8

Combine like terms: -10m + 11m = 1m
-3 + 1m = 11 + -8

Combine like terms: 11 + -8 = 3
-3 + 1m = 3

Solving
-3 + 1m = 3

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + 1m = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1m = 3 + 3
1m = 3 + 3

Combine like terms: 3 + 3 = 6
1m = 6

Divide each side by '1'.
m = 6

Simplifying
m = 6

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