3(3r+6)=9(3r-24)

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Solution for 3(3r+6)=9(3r-24) equation:


Simplifying
3(3r + 6) = 9(3r + -24)

Reorder the terms:
3(6 + 3r) = 9(3r + -24)
(6 * 3 + 3r * 3) = 9(3r + -24)
(18 + 9r) = 9(3r + -24)

Reorder the terms:
18 + 9r = 9(-24 + 3r)
18 + 9r = (-24 * 9 + 3r * 9)
18 + 9r = (-216 + 27r)

Solving
18 + 9r = -216 + 27r

Solving for variable 'r'.

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

Add '-27r' to each side of the equation.
18 + 9r + -27r = -216 + 27r + -27r

Combine like terms: 9r + -27r = -18r
18 + -18r = -216 + 27r + -27r

Combine like terms: 27r + -27r = 0
18 + -18r = -216 + 0
18 + -18r = -216

Add '-18' to each side of the equation.
18 + -18 + -18r = -216 + -18

Combine like terms: 18 + -18 = 0
0 + -18r = -216 + -18
-18r = -216 + -18

Combine like terms: -216 + -18 = -234
-18r = -234

Divide each side by '-18'.
r = 13

Simplifying
r = 13

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