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Simplifying -301 = 5 + 9(1 + -5r) -301 = 5 + (1 * 9 + -5r * 9) -301 = 5 + (9 + -45r) Combine like terms: 5 + 9 = 14 -301 = 14 + -45r Solving -301 = 14 + -45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '45r' to each side of the equation. -301 + 45r = 14 + -45r + 45r Combine like terms: -45r + 45r = 0 -301 + 45r = 14 + 0 -301 + 45r = 14 Add '301' to each side of the equation. -301 + 301 + 45r = 14 + 301 Combine like terms: -301 + 301 = 0 0 + 45r = 14 + 301 45r = 14 + 301 Combine like terms: 14 + 301 = 315 45r = 315 Divide each side by '45'. r = 7 Simplifying r = 7
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