-2(-4r+8)+8r=-5(1-5r)-8r

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Solution for -2(-4r+8)+8r=-5(1-5r)-8r equation:


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

Reorder the terms:
-2(8 + -4r) + 8r = -5(1 + -5r) + -8r
(8 * -2 + -4r * -2) + 8r = -5(1 + -5r) + -8r
(-16 + 8r) + 8r = -5(1 + -5r) + -8r

Combine like terms: 8r + 8r = 16r
-16 + 16r = -5(1 + -5r) + -8r
-16 + 16r = (1 * -5 + -5r * -5) + -8r
-16 + 16r = (-5 + 25r) + -8r

Combine like terms: 25r + -8r = 17r
-16 + 16r = -5 + 17r

Solving
-16 + 16r = -5 + 17r

Solving for variable 'r'.

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

Add '-17r' to each side of the equation.
-16 + 16r + -17r = -5 + 17r + -17r

Combine like terms: 16r + -17r = -1r
-16 + -1r = -5 + 17r + -17r

Combine like terms: 17r + -17r = 0
-16 + -1r = -5 + 0
-16 + -1r = -5

Add '16' to each side of the equation.
-16 + 16 + -1r = -5 + 16

Combine like terms: -16 + 16 = 0
0 + -1r = -5 + 16
-1r = -5 + 16

Combine like terms: -5 + 16 = 11
-1r = 11

Divide each side by '-1'.
r = -11

Simplifying
r = -11

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