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Simplifying 10r + 15 = 33 + -12r + -52 Reorder the terms: 15 + 10r = 33 + -12r + -52 Reorder the terms: 15 + 10r = 33 + -52 + -12r Combine like terms: 33 + -52 = -19 15 + 10r = -19 + -12r Solving 15 + 10r = -19 + -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. 15 + 10r + 12r = -19 + -12r + 12r Combine like terms: 10r + 12r = 22r 15 + 22r = -19 + -12r + 12r Combine like terms: -12r + 12r = 0 15 + 22r = -19 + 0 15 + 22r = -19 Add '-15' to each side of the equation. 15 + -15 + 22r = -19 + -15 Combine like terms: 15 + -15 = 0 0 + 22r = -19 + -15 22r = -19 + -15 Combine like terms: -19 + -15 = -34 22r = -34 Divide each side by '22'. r = -1.545454545 Simplifying r = -1.545454545
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