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Simplifying 5r + -3 + 3r = 15 + 5r Reorder the terms: -3 + 5r + 3r = 15 + 5r Combine like terms: 5r + 3r = 8r -3 + 8r = 15 + 5r Solving -3 + 8r = 15 + 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. -3 + 8r + -5r = 15 + 5r + -5r Combine like terms: 8r + -5r = 3r -3 + 3r = 15 + 5r + -5r Combine like terms: 5r + -5r = 0 -3 + 3r = 15 + 0 -3 + 3r = 15 Add '3' to each side of the equation. -3 + 3 + 3r = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 3r = 15 + 3 3r = 15 + 3 Combine like terms: 15 + 3 = 18 3r = 18 Divide each side by '3'. r = 6 Simplifying r = 6
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