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Simplifying 9(1 + 4r) = 9(1 + 11r) (1 * 9 + 4r * 9) = 9(1 + 11r) (9 + 36r) = 9(1 + 11r) 9 + 36r = (1 * 9 + 11r * 9) 9 + 36r = (9 + 99r) Add '-9' to each side of the equation. 9 + -9 + 36r = 9 + -9 + 99r Combine like terms: 9 + -9 = 0 0 + 36r = 9 + -9 + 99r 36r = 9 + -9 + 99r Combine like terms: 9 + -9 = 0 36r = 0 + 99r 36r = 99r Solving 36r = 99r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-99r' to each side of the equation. 36r + -99r = 99r + -99r Combine like terms: 36r + -99r = -63r -63r = 99r + -99r Combine like terms: 99r + -99r = 0 -63r = 0 Divide each side by '-63'. r = 0 Simplifying r = 0
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