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Simplifying 9r + 20 = 130 + -13r Reorder the terms: 20 + 9r = 130 + -13r Solving 20 + 9r = 130 + -13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13r' to each side of the equation. 20 + 9r + 13r = 130 + -13r + 13r Combine like terms: 9r + 13r = 22r 20 + 22r = 130 + -13r + 13r Combine like terms: -13r + 13r = 0 20 + 22r = 130 + 0 20 + 22r = 130 Add '-20' to each side of the equation. 20 + -20 + 22r = 130 + -20 Combine like terms: 20 + -20 = 0 0 + 22r = 130 + -20 22r = 130 + -20 Combine like terms: 130 + -20 = 110 22r = 110 Divide each side by '22'. r = 5 Simplifying r = 5
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