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Simplifying 7r + 10 = 5r + 46 Reorder the terms: 10 + 7r = 5r + 46 Reorder the terms: 10 + 7r = 46 + 5r Solving 10 + 7r = 46 + 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. 10 + 7r + -5r = 46 + 5r + -5r Combine like terms: 7r + -5r = 2r 10 + 2r = 46 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + 2r = 46 + 0 10 + 2r = 46 Add '-10' to each side of the equation. 10 + -10 + 2r = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 46 + -10 2r = 46 + -10 Combine like terms: 46 + -10 = 36 2r = 36 Divide each side by '2'. r = 18 Simplifying r = 18
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