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

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


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

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

Combine like terms: -3 + 132 = 129
129 + -12r = -9(r + -11)

Reorder the terms:
129 + -12r = -9(-11 + r)
129 + -12r = (-11 * -9 + r * -9)
129 + -12r = (99 + -9r)

Solving
129 + -12r = 99 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
129 + -12r + 9r = 99 + -9r + 9r

Combine like terms: -12r + 9r = -3r
129 + -3r = 99 + -9r + 9r

Combine like terms: -9r + 9r = 0
129 + -3r = 99 + 0
129 + -3r = 99

Add '-129' to each side of the equation.
129 + -129 + -3r = 99 + -129

Combine like terms: 129 + -129 = 0
0 + -3r = 99 + -129
-3r = 99 + -129

Combine like terms: 99 + -129 = -30
-3r = -30

Divide each side by '-3'.
r = 10

Simplifying
r = 10

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