6(2+4r)+2r=30+8r

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Solution for 6(2+4r)+2r=30+8r equation:


Simplifying
6(2 + 4r) + 2r = 30 + 8r
(2 * 6 + 4r * 6) + 2r = 30 + 8r
(12 + 24r) + 2r = 30 + 8r

Combine like terms: 24r + 2r = 26r
12 + 26r = 30 + 8r

Solving
12 + 26r = 30 + 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.
12 + 26r + -8r = 30 + 8r + -8r

Combine like terms: 26r + -8r = 18r
12 + 18r = 30 + 8r + -8r

Combine like terms: 8r + -8r = 0
12 + 18r = 30 + 0
12 + 18r = 30

Add '-12' to each side of the equation.
12 + -12 + 18r = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 18r = 30 + -12
18r = 30 + -12

Combine like terms: 30 + -12 = 18
18r = 18

Divide each side by '18'.
r = 1

Simplifying
r = 1

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