4(r+8)=2r-12

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Solution for 4(r+8)=2r-12 equation: 


Simplifying
4(r + 8) = 2r + -12

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

Reorder the terms:
32 + 4r = -12 + 2r

Solving
32 + 4r = -12 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
32 + 4r + -2r = -12 + 2r + -2r

Combine like terms: 4r + -2r = 2r
32 + 2r = -12 + 2r + -2r

Combine like terms: 2r + -2r = 0
32 + 2r = -12 + 0
32 + 2r = -12

Add '-32' to each side of the equation.
32 + -32 + 2r = -12 + -32

Combine like terms: 32 + -32 = 0
0 + 2r = -12 + -32
2r = -12 + -32

Combine like terms: -12 + -32 = -44
2r = -44

Divide each side by '2'.
r = -22

Simplifying
r = -22

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