2(4r+16)=8(2r-8)

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Solution for 2(4r+16)=8(2r-8) equation: 


Simplifying
2(4r + 16) = 8(2r + -8)

Reorder the terms:
2(16 + 4r) = 8(2r + -8)
(16 * 2 + 4r * 2) = 8(2r + -8)
(32 + 8r) = 8(2r + -8)

Reorder the terms:
32 + 8r = 8(-8 + 2r)
32 + 8r = (-8 * 8 + 2r * 8)
32 + 8r = (-64 + 16r)

Solving
32 + 8r = -64 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
32 + 8r + -16r = -64 + 16r + -16r

Combine like terms: 8r + -16r = -8r
32 + -8r = -64 + 16r + -16r

Combine like terms: 16r + -16r = 0
32 + -8r = -64 + 0
32 + -8r = -64

Add '-32' to each side of the equation.
32 + -32 + -8r = -64 + -32

Combine like terms: 32 + -32 = 0
0 + -8r = -64 + -32
-8r = -64 + -32

Combine like terms: -64 + -32 = -96
-8r = -96

Divide each side by '-8'.
r = 12

Simplifying
r = 12

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