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Simplifying 7r + 3 = 2r + 13 Reorder the terms: 3 + 7r = 2r + 13 Reorder the terms: 3 + 7r = 13 + 2r Solving 3 + 7r = 13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 7r + -2r = 13 + 2r + -2r Combine like terms: 7r + -2r = 5r 3 + 5r = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 5r = 13 + 0 3 + 5r = 13 Add '-3' to each side of the equation. 3 + -3 + 5r = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5r = 13 + -3 5r = 13 + -3 Combine like terms: 13 + -3 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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