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 = -13r
-180 + -32r = 10 + -13r

Solving
-180 + -32r = 10 + -13r

Solving for variable 'r'.

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

Add '13r' to each side of the equation.
-180 + -32r + 13r = 10 + -13r + 13r

Combine like terms: -32r + 13r = -19r
-180 + -19r = 10 + -13r + 13r

Combine like terms: -13r + 13r = 0
-180 + -19r = 10 + 0
-180 + -19r = 10

Add '180' to each side of the equation.
-180 + 180 + -19r = 10 + 180

Combine like terms: -180 + 180 = 0
0 + -19r = 10 + 180
-19r = 10 + 180

Combine like terms: 10 + 180 = 190
-19r = 190

Divide each side by '-19'.
r = -10

Simplifying
r = -10

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