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

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


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

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

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

Solving
32 + 8r = 8 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
32 + 8r + -4r = 8 + 4r + -4r

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

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

Add '-32' to each side of the equation.
32 + -32 + 4r = 8 + -32

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

Combine like terms: 8 + -32 = -24
4r = -24

Divide each side by '4'.
r = -6

Simplifying
r = -6

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