9(M-2)+2M=4(M-1)+12

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Solution for 9(M-2)+2M=4(M-1)+12 equation: 


Simplifying
9(M + -2) + 2M = 4(M + -1) + 12

Reorder the terms:
9(-2 + M) + 2M = 4(M + -1) + 12
(-2 * 9 + M * 9) + 2M = 4(M + -1) + 12
(-18 + 9M) + 2M = 4(M + -1) + 12

Combine like terms: 9M + 2M = 11M
-18 + 11M = 4(M + -1) + 12

Reorder the terms:
-18 + 11M = 4(-1 + M) + 12
-18 + 11M = (-1 * 4 + M * 4) + 12
-18 + 11M = (-4 + 4M) + 12

Reorder the terms:
-18 + 11M = -4 + 12 + 4M

Combine like terms: -4 + 12 = 8
-18 + 11M = 8 + 4M

Solving
-18 + 11M = 8 + 4M

Solving for variable 'M'.

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

Add '-4M' to each side of the equation.
-18 + 11M + -4M = 8 + 4M + -4M

Combine like terms: 11M + -4M = 7M
-18 + 7M = 8 + 4M + -4M

Combine like terms: 4M + -4M = 0
-18 + 7M = 8 + 0
-18 + 7M = 8

Add '18' to each side of the equation.
-18 + 18 + 7M = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 7M = 8 + 18
7M = 8 + 18

Combine like terms: 8 + 18 = 26
7M = 26

Divide each side by '7'.
M = 3.714285714

Simplifying
M = 3.714285714

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