-2(2m-9)+5(m-4)=11-6

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Solution for -2(2m-9)+5(m-4)=11-6 equation:


Simplifying
-2(2m + -9) + 5(m + -4) = 11 + -6

Reorder the terms:
-2(-9 + 2m) + 5(m + -4) = 11 + -6
(-9 * -2 + 2m * -2) + 5(m + -4) = 11 + -6
(18 + -4m) + 5(m + -4) = 11 + -6

Reorder the terms:
18 + -4m + 5(-4 + m) = 11 + -6
18 + -4m + (-4 * 5 + m * 5) = 11 + -6
18 + -4m + (-20 + 5m) = 11 + -6

Reorder the terms:
18 + -20 + -4m + 5m = 11 + -6

Combine like terms: 18 + -20 = -2
-2 + -4m + 5m = 11 + -6

Combine like terms: -4m + 5m = 1m
-2 + 1m = 11 + -6

Combine like terms: 11 + -6 = 5
-2 + 1m = 5

Solving
-2 + 1m = 5

Solving for variable 'm'.

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

Add '2' to each side of the equation.
-2 + 2 + 1m = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1m = 5 + 2
1m = 5 + 2

Combine like terms: 5 + 2 = 7
1m = 7

Divide each side by '1'.
m = 7

Simplifying
m = 7

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