2(-5-r)+11r=-(8-10r)

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Solution for 2(-5-r)+11r=-(8-10r) equation: 


Simplifying
2(-5 + -1r) + 11r = -1(8 + -10r)
(-5 * 2 + -1r * 2) + 11r = -1(8 + -10r)
(-10 + -2r) + 11r = -1(8 + -10r)

Combine like terms: -2r + 11r = 9r
-10 + 9r = -1(8 + -10r)
-10 + 9r = (8 * -1 + -10r * -1)
-10 + 9r = (-8 + 10r)

Solving
-10 + 9r = -8 + 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.
-10 + 9r + -10r = -8 + 10r + -10r

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

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

Add '10' to each side of the equation.
-10 + 10 + -1r = -8 + 10

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

Combine like terms: -8 + 10 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2

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