(8m-5n)-(-18n+5m)=b

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Solution for (8m-5n)-(-18n+5m)=b equation:


Simplifying
(8m + -5n) + -1(-18n + 5m) = b

Remove parenthesis around (8m + -5n)
8m + -5n + -1(-18n + 5m) = b

Reorder the terms:
8m + -5n + -1(5m + -18n) = b
8m + -5n + (5m * -1 + -18n * -1) = b
8m + -5n + (-5m + 18n) = b

Reorder the terms:
8m + -5m + -5n + 18n = b

Combine like terms: 8m + -5m = 3m
3m + -5n + 18n = b

Combine like terms: -5n + 18n = 13n
3m + 13n = b

Solving
3m + 13n = b

Solving for variable 'm'.

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

Add '-13n' to each side of the equation.
3m + 13n + -13n = b + -13n

Combine like terms: 13n + -13n = 0
3m + 0 = b + -13n
3m = b + -13n

Divide each side by '3'.
m = 0.3333333333b + -4.333333333n

Simplifying
m = 0.3333333333b + -4.333333333n

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