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Simplifying 10r + 10 = 109 + -1r Reorder the terms: 10 + 10r = 109 + -1r Solving 10 + 10r = 109 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 10 + 10r + r = 109 + -1r + r Combine like terms: 10r + r = 11r 10 + 11r = 109 + -1r + r Combine like terms: -1r + r = 0 10 + 11r = 109 + 0 10 + 11r = 109 Add '-10' to each side of the equation. 10 + -10 + 11r = 109 + -10 Combine like terms: 10 + -10 = 0 0 + 11r = 109 + -10 11r = 109 + -10 Combine like terms: 109 + -10 = 99 11r = 99 Divide each side by '11'. r = 9 Simplifying r = 9
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