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Simplifying -10r + -15 = 33 + -12r + -15 Reorder the terms: -15 + -10r = 33 + -12r + -15 Reorder the terms: -15 + -10r = 33 + -15 + -12r Combine like terms: 33 + -15 = 18 -15 + -10r = 18 + -12r Solving -15 + -10r = 18 + -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 = 18 + -12r + 12r Combine like terms: -10r + 12r = 2r -15 + 2r = 18 + -12r + 12r Combine like terms: -12r + 12r = 0 -15 + 2r = 18 + 0 -15 + 2r = 18 Add '15' to each side of the equation. -15 + 15 + 2r = 18 + 15 Combine like terms: -15 + 15 = 0 0 + 2r = 18 + 15 2r = 18 + 15 Combine like terms: 18 + 15 = 33 2r = 33 Divide each side by '2'. r = 16.5 Simplifying r = 16.5
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