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Simplifying 13 + -3r + 2 + 6r + -2r + -1 = 3 + 2 * 9 Reorder the terms: 13 + 2 + -1 + -3r + 6r + -2r = 3 + 2 * 9 Combine like terms: 13 + 2 = 15 15 + -1 + -3r + 6r + -2r = 3 + 2 * 9 Combine like terms: 15 + -1 = 14 14 + -3r + 6r + -2r = 3 + 2 * 9 Combine like terms: -3r + 6r = 3r 14 + 3r + -2r = 3 + 2 * 9 Combine like terms: 3r + -2r = 1r 14 + 1r = 3 + 2 * 9 Multiply 2 * 9 14 + 1r = 3 + 18 Combine like terms: 3 + 18 = 21 14 + 1r = 21 Solving 14 + 1r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1r = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 1r = 21 + -14 1r = 21 + -14 Combine like terms: 21 + -14 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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