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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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