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Simplifying 7r + 47 = 5r + 57 Reorder the terms: 47 + 7r = 5r + 57 Reorder the terms: 47 + 7r = 57 + 5r Solving 47 + 7r = 57 + 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. 47 + 7r + -5r = 57 + 5r + -5r Combine like terms: 7r + -5r = 2r 47 + 2r = 57 + 5r + -5r Combine like terms: 5r + -5r = 0 47 + 2r = 57 + 0 47 + 2r = 57 Add '-47' to each side of the equation. 47 + -47 + 2r = 57 + -47 Combine like terms: 47 + -47 = 0 0 + 2r = 57 + -47 2r = 57 + -47 Combine like terms: 57 + -47 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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