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

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


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

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

Combine like terms: -8r + 8r = 0
8 + -4r = -8 + 0
8 + -4r = -8

Solving
8 + -4r = -8

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + -4r = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4r = -8 + -8
-4r = -8 + -8

Combine like terms: -8 + -8 = -16
-4r = -16

Divide each side by '-4'.
r = 4

Simplifying
r = 4

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