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Simplifying 7r + 5 = 5r + 35 Reorder the terms: 5 + 7r = 5r + 35 Reorder the terms: 5 + 7r = 35 + 5r Solving 5 + 7r = 35 + 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. 5 + 7r + -5r = 35 + 5r + -5r Combine like terms: 7r + -5r = 2r 5 + 2r = 35 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + 2r = 35 + 0 5 + 2r = 35 Add '-5' to each side of the equation. 5 + -5 + 2r = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 35 + -5 2r = 35 + -5 Combine like terms: 35 + -5 = 30 2r = 30 Divide each side by '2'. r = 15 Simplifying r = 15
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