3(-9r-11)=-12(-11+5r)

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Solution for 3(-9r-11)=-12(-11+5r) equation:


Simplifying
3(-9r + -11) = -12(-11 + 5r)

Reorder the terms:
3(-11 + -9r) = -12(-11 + 5r)
(-11 * 3 + -9r * 3) = -12(-11 + 5r)
(-33 + -27r) = -12(-11 + 5r)
-33 + -27r = (-11 * -12 + 5r * -12)
-33 + -27r = (132 + -60r)

Solving
-33 + -27r = 132 + -60r

Solving for variable 'r'.

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

Add '60r' to each side of the equation.
-33 + -27r + 60r = 132 + -60r + 60r

Combine like terms: -27r + 60r = 33r
-33 + 33r = 132 + -60r + 60r

Combine like terms: -60r + 60r = 0
-33 + 33r = 132 + 0
-33 + 33r = 132

Add '33' to each side of the equation.
-33 + 33 + 33r = 132 + 33

Combine like terms: -33 + 33 = 0
0 + 33r = 132 + 33
33r = 132 + 33

Combine like terms: 132 + 33 = 165
33r = 165

Divide each side by '33'.
r = 5

Simplifying
r = 5

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