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Simplifying 8 + 13r + -3 = 8r + 75 + -5r Reorder the terms: 8 + -3 + 13r = 8r + 75 + -5r Combine like terms: 8 + -3 = 5 5 + 13r = 8r + 75 + -5r Reorder the terms: 5 + 13r = 75 + 8r + -5r Combine like terms: 8r + -5r = 3r 5 + 13r = 75 + 3r Solving 5 + 13r = 75 + 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. 5 + 13r + -3r = 75 + 3r + -3r Combine like terms: 13r + -3r = 10r 5 + 10r = 75 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + 10r = 75 + 0 5 + 10r = 75 Add '-5' to each side of the equation. 5 + -5 + 10r = 75 + -5 Combine like terms: 5 + -5 = 0 0 + 10r = 75 + -5 10r = 75 + -5 Combine like terms: 75 + -5 = 70 10r = 70 Divide each side by '10'. r = 7 Simplifying r = 7
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