4(9r-6)-9r=3(12r-2)

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Solution for 4(9r-6)-9r=3(12r-2) equation:


Simplifying
4(9r + -6) + -9r = 3(12r + -2)

Reorder the terms:
4(-6 + 9r) + -9r = 3(12r + -2)
(-6 * 4 + 9r * 4) + -9r = 3(12r + -2)
(-24 + 36r) + -9r = 3(12r + -2)

Combine like terms: 36r + -9r = 27r
-24 + 27r = 3(12r + -2)

Reorder the terms:
-24 + 27r = 3(-2 + 12r)
-24 + 27r = (-2 * 3 + 12r * 3)
-24 + 27r = (-6 + 36r)

Solving
-24 + 27r = -6 + 36r

Solving for variable 'r'.

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

Add '-36r' to each side of the equation.
-24 + 27r + -36r = -6 + 36r + -36r

Combine like terms: 27r + -36r = -9r
-24 + -9r = -6 + 36r + -36r

Combine like terms: 36r + -36r = 0
-24 + -9r = -6 + 0
-24 + -9r = -6

Add '24' to each side of the equation.
-24 + 24 + -9r = -6 + 24

Combine like terms: -24 + 24 = 0
0 + -9r = -6 + 24
-9r = -6 + 24

Combine like terms: -6 + 24 = 18
-9r = 18

Divide each side by '-9'.
r = -2

Simplifying
r = -2

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