-3(3M-6)+10(M-4)=14-6

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Solution for -3(3M-6)+10(M-4)=14-6 equation: 


Simplifying
-3(3M + -6) + 10(M + -4) = 14 + -6

Reorder the terms:
-3(-6 + 3M) + 10(M + -4) = 14 + -6
(-6 * -3 + 3M * -3) + 10(M + -4) = 14 + -6
(18 + -9M) + 10(M + -4) = 14 + -6

Reorder the terms:
18 + -9M + 10(-4 + M) = 14 + -6
18 + -9M + (-4 * 10 + M * 10) = 14 + -6
18 + -9M + (-40 + 10M) = 14 + -6

Reorder the terms:
18 + -40 + -9M + 10M = 14 + -6

Combine like terms: 18 + -40 = -22
-22 + -9M + 10M = 14 + -6

Combine like terms: -9M + 10M = 1M
-22 + 1M = 14 + -6

Combine like terms: 14 + -6 = 8
-22 + 1M = 8

Solving
-22 + 1M = 8

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 + 1M = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 1M = 8 + 22
1M = 8 + 22

Combine like terms: 8 + 22 = 30
1M = 30

Divide each side by '1'.
M = 30

Simplifying
M = 30

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