9(-5r+20)+13r=10+6r-7r

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Solution for 9(-5r+20)+13r=10+6r-7r equation: 


Simplifying
9(-5r + 20) + 13r = 10 + 6r + -7r

Reorder the terms:
9(20 + -5r) + 13r = 10 + 6r + -7r
(20 * 9 + -5r * 9) + 13r = 10 + 6r + -7r
(180 + -45r) + 13r = 10 + 6r + -7r

Combine like terms: -45r + 13r = -32r
180 + -32r = 10 + 6r + -7r

Combine like terms: 6r + -7r = -1r
180 + -32r = 10 + -1r

Solving
180 + -32r = 10 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
180 + -32r + r = 10 + -1r + r

Combine like terms: -32r + r = -31r
180 + -31r = 10 + -1r + r

Combine like terms: -1r + r = 0
180 + -31r = 10 + 0
180 + -31r = 10

Add '-180' to each side of the equation.
180 + -180 + -31r = 10 + -180

Combine like terms: 180 + -180 = 0
0 + -31r = 10 + -180
-31r = 10 + -180

Combine like terms: 10 + -180 = -170
-31r = -170

Divide each side by '-31'.
r = 5.483870968

Simplifying
r = 5.483870968

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