8+14m-1=9m+61-4m

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Solution for 8+14m-1=9m+61-4m equation:


Simplifying
8 + 14m + -1 = 9m + 61 + -4m

Reorder the terms:
8 + -1 + 14m = 9m + 61 + -4m

Combine like terms: 8 + -1 = 7
7 + 14m = 9m + 61 + -4m

Reorder the terms:
7 + 14m = 61 + 9m + -4m

Combine like terms: 9m + -4m = 5m
7 + 14m = 61 + 5m

Solving
7 + 14m = 61 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
7 + 14m + -5m = 61 + 5m + -5m

Combine like terms: 14m + -5m = 9m
7 + 9m = 61 + 5m + -5m

Combine like terms: 5m + -5m = 0
7 + 9m = 61 + 0
7 + 9m = 61

Add '-7' to each side of the equation.
7 + -7 + 9m = 61 + -7

Combine like terms: 7 + -7 = 0
0 + 9m = 61 + -7
9m = 61 + -7

Combine like terms: 61 + -7 = 54
9m = 54

Divide each side by '9'.
m = 6

Simplifying
m = 6

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