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Simplifying 2r + 7 + -8r + 5 + -3r = 9 + -1r + 6 + -5r + -13 Reorder the terms: 7 + 5 + 2r + -8r + -3r = 9 + -1r + 6 + -5r + -13 Combine like terms: 7 + 5 = 12 12 + 2r + -8r + -3r = 9 + -1r + 6 + -5r + -13 Combine like terms: 2r + -8r = -6r 12 + -6r + -3r = 9 + -1r + 6 + -5r + -13 Combine like terms: -6r + -3r = -9r 12 + -9r = 9 + -1r + 6 + -5r + -13 Reorder the terms: 12 + -9r = 9 + 6 + -13 + -1r + -5r Combine like terms: 9 + 6 = 15 12 + -9r = 15 + -13 + -1r + -5r Combine like terms: 15 + -13 = 2 12 + -9r = 2 + -1r + -5r Combine like terms: -1r + -5r = -6r 12 + -9r = 2 + -6r Solving 12 + -9r = 2 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 12 + -9r + 6r = 2 + -6r + 6r Combine like terms: -9r + 6r = -3r 12 + -3r = 2 + -6r + 6r Combine like terms: -6r + 6r = 0 12 + -3r = 2 + 0 12 + -3r = 2 Add '-12' to each side of the equation. 12 + -12 + -3r = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = 2 + -12 -3r = 2 + -12 Combine like terms: 2 + -12 = -10 -3r = -10 Divide each side by '-3'. r = 3.333333333 Simplifying r = 3.333333333
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