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Simplifying 3 + 9r + -2 = 5r + 19 + -2r Reorder the terms: 3 + -2 + 9r = 5r + 19 + -2r Combine like terms: 3 + -2 = 1 1 + 9r = 5r + 19 + -2r Reorder the terms: 1 + 9r = 19 + 5r + -2r Combine like terms: 5r + -2r = 3r 1 + 9r = 19 + 3r Solving 1 + 9r = 19 + 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. 1 + 9r + -3r = 19 + 3r + -3r Combine like terms: 9r + -3r = 6r 1 + 6r = 19 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 6r = 19 + 0 1 + 6r = 19 Add '-1' to each side of the equation. 1 + -1 + 6r = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 19 + -1 6r = 19 + -1 Combine like terms: 19 + -1 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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