7M+10=3M-22

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Solution for 7M+10=3M-22 equation: 


Simplifying
7M + 10 = 3M + -22

Reorder the terms:
10 + 7M = 3M + -22

Reorder the terms:
10 + 7M = -22 + 3M

Solving
10 + 7M = -22 + 3M

Solving for variable 'M'.

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

Add '-3M' to each side of the equation.
10 + 7M + -3M = -22 + 3M + -3M

Combine like terms: 7M + -3M = 4M
10 + 4M = -22 + 3M + -3M

Combine like terms: 3M + -3M = 0
10 + 4M = -22 + 0
10 + 4M = -22

Add '-10' to each side of the equation.
10 + -10 + 4M = -22 + -10

Combine like terms: 10 + -10 = 0
0 + 4M = -22 + -10
4M = -22 + -10

Combine like terms: -22 + -10 = -32
4M = -32

Divide each side by '4'.
M = -8

Simplifying
M = -8

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