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Simplifying 15r + 15 = 10(3r + -9) Reorder the terms: 15 + 15r = 10(3r + -9) Reorder the terms: 15 + 15r = 10(-9 + 3r) 15 + 15r = (-9 * 10 + 3r * 10) 15 + 15r = (-90 + 30r) Solving 15 + 15r = -90 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 15 + 15r + -30r = -90 + 30r + -30r Combine like terms: 15r + -30r = -15r 15 + -15r = -90 + 30r + -30r Combine like terms: 30r + -30r = 0 15 + -15r = -90 + 0 15 + -15r = -90 Add '-15' to each side of the equation. 15 + -15 + -15r = -90 + -15 Combine like terms: 15 + -15 = 0 0 + -15r = -90 + -15 -15r = -90 + -15 Combine like terms: -90 + -15 = -105 -15r = -105 Divide each side by '-15'. r = 7 Simplifying r = 7
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