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Simplifying 7r + 10 = 3r + 500 Reorder the terms: 10 + 7r = 3r + 500 Reorder the terms: 10 + 7r = 500 + 3r Solving 10 + 7r = 500 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 10 + 7r + -3r = 500 + 3r + -3r Combine like terms: 7r + -3r = 4r 10 + 4r = 500 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + 4r = 500 + 0 10 + 4r = 500 Add '-10' to each side of the equation. 10 + -10 + 4r = 500 + -10 Combine like terms: 10 + -10 = 0 0 + 4r = 500 + -10 4r = 500 + -10 Combine like terms: 500 + -10 = 490 4r = 490 Divide each side by '4'. r = 122.5 Simplifying r = 122.5
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