4(r+4)=2(r+6)

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Solution for 4(r+4)=2(r+6) equation: 


Simplifying
4(r + 4) = 2(r + 6)

Reorder the terms:
4(4 + r) = 2(r + 6)
(4 * 4 + r * 4) = 2(r + 6)
(16 + 4r) = 2(r + 6)

Reorder the terms:
16 + 4r = 2(6 + r)
16 + 4r = (6 * 2 + r * 2)
16 + 4r = (12 + 2r)

Solving
16 + 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.
16 + 4r + -2r = 12 + 2r + -2r

Combine like terms: 4r + -2r = 2r
16 + 2r = 12 + 2r + -2r

Combine like terms: 2r + -2r = 0
16 + 2r = 12 + 0
16 + 2r = 12

Add '-16' to each side of the equation.
16 + -16 + 2r = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 2r = 12 + -16
2r = 12 + -16

Combine like terms: 12 + -16 = -4
2r = -4

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

Simplifying
r = -2

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