6(2r+3)-9r=-3r

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Solution for 6(2r+3)-9r=-3r equation:


Simplifying
6(2r + 3) + -9r = -3r

Reorder the terms:
6(3 + 2r) + -9r = -3r
(3 * 6 + 2r * 6) + -9r = -3r
(18 + 12r) + -9r = -3r

Combine like terms: 12r + -9r = 3r
18 + 3r = -3r

Solving
18 + 3r = -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
18 + 3r + 3r = -3r + 3r

Combine like terms: 3r + 3r = 6r
18 + 6r = -3r + 3r

Combine like terms: -3r + 3r = 0
18 + 6r = 0

Add '-18' to each side of the equation.
18 + -18 + 6r = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 6r = 0 + -18
6r = 0 + -18

Combine like terms: 0 + -18 = -18
6r = -18

Divide each side by '6'.
r = -3

Simplifying
r = -3

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