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Simplifying 13 + -3r + 2r + 6r + -2r + -1 = 3 + (2 * 9) Reorder the terms: 13 + -1 + -3r + 2r + 6r + -2r = 3 + (2 * 9) Combine like terms: 13 + -1 = 12 12 + -3r + 2r + 6r + -2r = 3 + (2 * 9) Combine like terms: -3r + 2r = -1r 12 + -1r + 6r + -2r = 3 + (2 * 9) Combine like terms: -1r + 6r = 5r 12 + 5r + -2r = 3 + (2 * 9) Combine like terms: 5r + -2r = 3r 12 + 3r = 3 + (2 * 9) Multiply 2 * 9 12 + 3r = 3 + (18) 12 + 3r = 3 + 18 Combine like terms: 3 + 18 = 21 12 + 3r = 21 Solving 12 + 3r = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3r = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3r = 21 + -12 3r = 21 + -12 Combine like terms: 21 + -12 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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