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Simplifying -9r + 17 = -14 + -20 + -12r Reorder the terms: 17 + -9r = -14 + -20 + -12r Combine like terms: -14 + -20 = -34 17 + -9r = -34 + -12r Solving 17 + -9r = -34 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 17 + -9r + 12r = -34 + -12r + 12r Combine like terms: -9r + 12r = 3r 17 + 3r = -34 + -12r + 12r Combine like terms: -12r + 12r = 0 17 + 3r = -34 + 0 17 + 3r = -34 Add '-17' to each side of the equation. 17 + -17 + 3r = -34 + -17 Combine like terms: 17 + -17 = 0 0 + 3r = -34 + -17 3r = -34 + -17 Combine like terms: -34 + -17 = -51 3r = -51 Divide each side by '3'. r = -17 Simplifying r = -17
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