3(2r+8)=6(3r-24)

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Solution for 3(2r+8)=6(3r-24) equation:


Simplifying
3(2r + 8) = 6(3r + -24)

Reorder the terms:
3(8 + 2r) = 6(3r + -24)
(8 * 3 + 2r * 3) = 6(3r + -24)
(24 + 6r) = 6(3r + -24)

Reorder the terms:
24 + 6r = 6(-24 + 3r)
24 + 6r = (-24 * 6 + 3r * 6)
24 + 6r = (-144 + 18r)

Solving
24 + 6r = -144 + 18r

Solving for variable 'r'.

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

Add '-18r' to each side of the equation.
24 + 6r + -18r = -144 + 18r + -18r

Combine like terms: 6r + -18r = -12r
24 + -12r = -144 + 18r + -18r

Combine like terms: 18r + -18r = 0
24 + -12r = -144 + 0
24 + -12r = -144

Add '-24' to each side of the equation.
24 + -24 + -12r = -144 + -24

Combine like terms: 24 + -24 = 0
0 + -12r = -144 + -24
-12r = -144 + -24

Combine like terms: -144 + -24 = -168
-12r = -168

Divide each side by '-12'.
r = 14

Simplifying
r = 14

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