6M+7=8M-13

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Solution for 6M+7=8M-13 equation: 


Simplifying
6M + 7 = 8M + -13

Reorder the terms:
7 + 6M = 8M + -13

Reorder the terms:
7 + 6M = -13 + 8M

Solving
7 + 6M = -13 + 8M

Solving for variable 'M'.

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

Add '-8M' to each side of the equation.
7 + 6M + -8M = -13 + 8M + -8M

Combine like terms: 6M + -8M = -2M
7 + -2M = -13 + 8M + -8M

Combine like terms: 8M + -8M = 0
7 + -2M = -13 + 0
7 + -2M = -13

Add '-7' to each side of the equation.
7 + -7 + -2M = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -2M = -13 + -7
-2M = -13 + -7

Combine like terms: -13 + -7 = -20
-2M = -20

Divide each side by '-2'.
M = 10

Simplifying
M = 10

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