-31.962=2.9(2.3r-2.8)+2.5r

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Solution for -31.962=2.9(2.3r-2.8)+2.5r equation: 


Simplifying
-31.962 = 2.9(2.3r + -2.8) + 2.5r

Reorder the terms:
-31.962 = 2.9(-2.8 + 2.3r) + 2.5r
-31.962 = (-2.8 * 2.9 + 2.3r * 2.9) + 2.5r
-31.962 = (-8.12 + 6.67r) + 2.5r

Combine like terms: 6.67r + 2.5r = 9.17r
-31.962 = -8.12 + 9.17r

Solving
-31.962 = -8.12 + 9.17r

Solving for variable 'r'.

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

Add '-9.17r' to each side of the equation.
-31.962 + -9.17r = -8.12 + 9.17r + -9.17r

Combine like terms: 9.17r + -9.17r = 0.00
-31.962 + -9.17r = -8.12 + 0.00
-31.962 + -9.17r = -8.12

Add '31.962' to each side of the equation.
-31.962 + 31.962 + -9.17r = -8.12 + 31.962

Combine like terms: -31.962 + 31.962 = 0.000
0.000 + -9.17r = -8.12 + 31.962
-9.17r = -8.12 + 31.962

Combine like terms: -8.12 + 31.962 = 23.842
-9.17r = 23.842

Divide each side by '-9.17'.
r = -2.6

Simplifying
r = -2.6

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