2(-4+5r)-r=2(5+5r)-5

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Solution for 2(-4+5r)-r=2(5+5r)-5 equation: 


Simplifying
2(-4 + 5r) + -1r = 2(5 + 5r) + -5
(-4 * 2 + 5r * 2) + -1r = 2(5 + 5r) + -5
(-8 + 10r) + -1r = 2(5 + 5r) + -5

Combine like terms: 10r + -1r = 9r
-8 + 9r = 2(5 + 5r) + -5
-8 + 9r = (5 * 2 + 5r * 2) + -5
-8 + 9r = (10 + 10r) + -5

Reorder the terms:
-8 + 9r = 10 + -5 + 10r

Combine like terms: 10 + -5 = 5
-8 + 9r = 5 + 10r

Solving
-8 + 9r = 5 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-8 + 9r + -10r = 5 + 10r + -10r

Combine like terms: 9r + -10r = -1r
-8 + -1r = 5 + 10r + -10r

Combine like terms: 10r + -10r = 0
-8 + -1r = 5 + 0
-8 + -1r = 5

Add '8' to each side of the equation.
-8 + 8 + -1r = 5 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = 5 + 8
-1r = 5 + 8

Combine like terms: 5 + 8 = 13
-1r = 13

Divide each side by '-1'.
r = -13

Simplifying
r = -13

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