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Simplifying 7r + 3 = 5r + 21 Reorder the terms: 3 + 7r = 5r + 21 Reorder the terms: 3 + 7r = 21 + 5r Solving 3 + 7r = 21 + 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. 3 + 7r + -5r = 21 + 5r + -5r Combine like terms: 7r + -5r = 2r 3 + 2r = 21 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + 2r = 21 + 0 3 + 2r = 21 Add '-3' to each side of the equation. 3 + -3 + 2r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 21 + -3 2r = 21 + -3 Combine like terms: 21 + -3 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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