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Simplifying 5r + -13 = 12 + -5r Reorder the terms: -13 + 5r = 12 + -5r Solving -13 + 5r = 12 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -13 + 5r + 5r = 12 + -5r + 5r Combine like terms: 5r + 5r = 10r -13 + 10r = 12 + -5r + 5r Combine like terms: -5r + 5r = 0 -13 + 10r = 12 + 0 -13 + 10r = 12 Add '13' to each side of the equation. -13 + 13 + 10r = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 10r = 12 + 13 10r = 12 + 13 Combine like terms: 12 + 13 = 25 10r = 25 Divide each side by '10'. r = 2.5 Simplifying r = 2.5
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