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

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


Simplifying
32 + 8r = 8 + 8(3r + -3)

Reorder the terms:
32 + 8r = 8 + 8(-3 + 3r)
32 + 8r = 8 + (-3 * 8 + 3r * 8)
32 + 8r = 8 + (-24 + 24r)

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

Solving
32 + 8r = -16 + 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 = -16 + 24r + -24r

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

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

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

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

Combine like terms: -16 + -32 = -48
-16r = -48

Divide each side by '-16'.
r = 3

Simplifying
r = 3

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