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Simplifying 5r + -13 = 10 + 2r Reorder the terms: -13 + 5r = 10 + 2r Solving -13 + 5r = 10 + 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. -13 + 5r + -2r = 10 + 2r + -2r Combine like terms: 5r + -2r = 3r -13 + 3r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -13 + 3r = 10 + 0 -13 + 3r = 10 Add '13' to each side of the equation. -13 + 13 + 3r = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 3r = 10 + 13 3r = 10 + 13 Combine like terms: 10 + 13 = 23 3r = 23 Divide each side by '3'. r = 7.666666667 Simplifying r = 7.666666667
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