3(12+9r)=-3(-11r-4)

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Solution for 3(12+9r)=-3(-11r-4) equation:


Simplifying
3(12 + 9r) = -3(-11r + -4)
(12 * 3 + 9r * 3) = -3(-11r + -4)
(36 + 27r) = -3(-11r + -4)

Reorder the terms:
36 + 27r = -3(-4 + -11r)
36 + 27r = (-4 * -3 + -11r * -3)
36 + 27r = (12 + 33r)

Solving
36 + 27r = 12 + 33r

Solving for variable 'r'.

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

Add '-33r' to each side of the equation.
36 + 27r + -33r = 12 + 33r + -33r

Combine like terms: 27r + -33r = -6r
36 + -6r = 12 + 33r + -33r

Combine like terms: 33r + -33r = 0
36 + -6r = 12 + 0
36 + -6r = 12

Add '-36' to each side of the equation.
36 + -36 + -6r = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -6r = 12 + -36
-6r = 12 + -36

Combine like terms: 12 + -36 = -24
-6r = -24

Divide each side by '-6'.
r = 4

Simplifying
r = 4

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