4(8-3r)=32-8(r+2)

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Solution for 4(8-3r)=32-8(r+2) equation: 


Simplifying
4(8 + -3r) = 32 + -8(r + 2)
(8 * 4 + -3r * 4) = 32 + -8(r + 2)
(32 + -12r) = 32 + -8(r + 2)

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

Combine like terms: 32 + -16 = 16
32 + -12r = 16 + -8r

Solving
32 + -12r = 16 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
32 + -12r + 8r = 16 + -8r + 8r

Combine like terms: -12r + 8r = -4r
32 + -4r = 16 + -8r + 8r

Combine like terms: -8r + 8r = 0
32 + -4r = 16 + 0
32 + -4r = 16

Add '-32' to each side of the equation.
32 + -32 + -4r = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4r = 16 + -32
-4r = 16 + -32

Combine like terms: 16 + -32 = -16
-4r = -16

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

Simplifying
r = 4

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