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Simplifying 4 + 7r + -1 = 8r + 18 + -6r Reorder the terms: 4 + -1 + 7r = 8r + 18 + -6r Combine like terms: 4 + -1 = 3 3 + 7r = 8r + 18 + -6r Reorder the terms: 3 + 7r = 18 + 8r + -6r Combine like terms: 8r + -6r = 2r 3 + 7r = 18 + 2r Solving 3 + 7r = 18 + 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 = 18 + 2r + -2r Combine like terms: 7r + -2r = 5r 3 + 5r = 18 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 5r = 18 + 0 3 + 5r = 18 Add '-3' to each side of the equation. 3 + -3 + 5r = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5r = 18 + -3 5r = 18 + -3 Combine like terms: 18 + -3 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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