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Simplifying 4r + 20 = -5r + 34 Reorder the terms: 20 + 4r = -5r + 34 Reorder the terms: 20 + 4r = 34 + -5r Solving 20 + 4r = 34 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 20 + 4r + 5r = 34 + -5r + 5r Combine like terms: 4r + 5r = 9r 20 + 9r = 34 + -5r + 5r Combine like terms: -5r + 5r = 0 20 + 9r = 34 + 0 20 + 9r = 34 Add '-20' to each side of the equation. 20 + -20 + 9r = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 9r = 34 + -20 9r = 34 + -20 Combine like terms: 34 + -20 = 14 9r = 14 Divide each side by '9'. r = 1.555555556 Simplifying r = 1.555555556
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