2(4r+16)=12(2r-16)

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Solution for 2(4r+16)=12(2r-16) equation: 


Simplifying
2(4r + 16) = 12(2r + -16)

Reorder the terms:
2(16 + 4r) = 12(2r + -16)
(16 * 2 + 4r * 2) = 12(2r + -16)
(32 + 8r) = 12(2r + -16)

Reorder the terms:
32 + 8r = 12(-16 + 2r)
32 + 8r = (-16 * 12 + 2r * 12)
32 + 8r = (-192 + 24r)

Solving
32 + 8r = -192 + 24r

Solving for variable 'r'.

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

Add '-24r' to each side of the equation.
32 + 8r + -24r = -192 + 24r + -24r

Combine like terms: 8r + -24r = -16r
32 + -16r = -192 + 24r + -24r

Combine like terms: 24r + -24r = 0
32 + -16r = -192 + 0
32 + -16r = -192

Add '-32' to each side of the equation.
32 + -32 + -16r = -192 + -32

Combine like terms: 32 + -32 = 0
0 + -16r = -192 + -32
-16r = -192 + -32

Combine like terms: -192 + -32 = -224
-16r = -224

Divide each side by '-16'.
r = 14

Simplifying
r = 14

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