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Simplifying 4r + 7 = -5r + 34 Reorder the terms: 7 + 4r = -5r + 34 Reorder the terms: 7 + 4r = 34 + -5r Solving 7 + 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. 7 + 4r + 5r = 34 + -5r + 5r Combine like terms: 4r + 5r = 9r 7 + 9r = 34 + -5r + 5r Combine like terms: -5r + 5r = 0 7 + 9r = 34 + 0 7 + 9r = 34 Add '-7' to each side of the equation. 7 + -7 + 9r = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 9r = 34 + -7 9r = 34 + -7 Combine like terms: 34 + -7 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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