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Simplifying 5 + 13r + -3 = 5r + 22 + -2r Reorder the terms: 5 + -3 + 13r = 5r + 22 + -2r Combine like terms: 5 + -3 = 2 2 + 13r = 5r + 22 + -2r Reorder the terms: 2 + 13r = 22 + 5r + -2r Combine like terms: 5r + -2r = 3r 2 + 13r = 22 + 3r Solving 2 + 13r = 22 + 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. 2 + 13r + -3r = 22 + 3r + -3r Combine like terms: 13r + -3r = 10r 2 + 10r = 22 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 10r = 22 + 0 2 + 10r = 22 Add '-2' to each side of the equation. 2 + -2 + 10r = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 10r = 22 + -2 10r = 22 + -2 Combine like terms: 22 + -2 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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