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Simplifying -10r + 15 = 33 + -12r + -58 Reorder the terms: 15 + -10r = 33 + -12r + -58 Reorder the terms: 15 + -10r = 33 + -58 + -12r Combine like terms: 33 + -58 = -25 15 + -10r = -25 + -12r Solving 15 + -10r = -25 + -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 = -25 + -12r + 12r Combine like terms: -10r + 12r = 2r 15 + 2r = -25 + -12r + 12r Combine like terms: -12r + 12r = 0 15 + 2r = -25 + 0 15 + 2r = -25 Add '-15' to each side of the equation. 15 + -15 + 2r = -25 + -15 Combine like terms: 15 + -15 = 0 0 + 2r = -25 + -15 2r = -25 + -15 Combine like terms: -25 + -15 = -40 2r = -40 Divide each side by '2'. r = -20 Simplifying r = -20
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