3m-4n-7=8m+n-6

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Solution for 3m-4n-7=8m+n-6 equation:


Simplifying
3m + -4n + -7 = 8m + n + -6

Reorder the terms:
-7 + 3m + -4n = 8m + n + -6

Reorder the terms:
-7 + 3m + -4n = -6 + 8m + n

Solving
-7 + 3m + -4n = -6 + 8m + n

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 + 3m + -8m + -4n = -6 + 8m + -8m + n

Combine like terms: 3m + -8m = -5m
-7 + -5m + -4n = -6 + 8m + -8m + n

Combine like terms: 8m + -8m = 0
-7 + -5m + -4n = -6 + 0 + n
-7 + -5m + -4n = -6 + n

Add '7' to each side of the equation.
-7 + -5m + 7 + -4n = -6 + 7 + n

Reorder the terms:
-7 + 7 + -5m + -4n = -6 + 7 + n

Combine like terms: -7 + 7 = 0
0 + -5m + -4n = -6 + 7 + n
-5m + -4n = -6 + 7 + n

Combine like terms: -6 + 7 = 1
-5m + -4n = 1 + n

Add '4n' to each side of the equation.
-5m + -4n + 4n = 1 + n + 4n

Combine like terms: -4n + 4n = 0
-5m + 0 = 1 + n + 4n
-5m = 1 + n + 4n

Combine like terms: n + 4n = 5n
-5m = 1 + 5n

Divide each side by '-5'.
m = -0.2 + -1n

Simplifying
m = -0.2 + -1n

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