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Simplifying 6(-51r + 59) = 9(-32r + -46) + -66r Reorder the terms: 6(59 + -51r) = 9(-32r + -46) + -66r (59 * 6 + -51r * 6) = 9(-32r + -46) + -66r (354 + -306r) = 9(-32r + -46) + -66r Reorder the terms: 354 + -306r = 9(-46 + -32r) + -66r 354 + -306r = (-46 * 9 + -32r * 9) + -66r 354 + -306r = (-414 + -288r) + -66r Combine like terms: -288r + -66r = -354r 354 + -306r = -414 + -354r Solving 354 + -306r = -414 + -354r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '354r' to each side of the equation. 354 + -306r + 354r = -414 + -354r + 354r Combine like terms: -306r + 354r = 48r 354 + 48r = -414 + -354r + 354r Combine like terms: -354r + 354r = 0 354 + 48r = -414 + 0 354 + 48r = -414 Add '-354' to each side of the equation. 354 + -354 + 48r = -414 + -354 Combine like terms: 354 + -354 = 0 0 + 48r = -414 + -354 48r = -414 + -354 Combine like terms: -414 + -354 = -768 48r = -768 Divide each side by '48'. r = -16 Simplifying r = -16
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