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Simplifying -2r + -3 = 5 + -5r Reorder the terms: -3 + -2r = 5 + -5r Solving -3 + -2r = 5 + -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 + -2r + 5r = 5 + -5r + 5r Combine like terms: -2r + 5r = 3r -3 + 3r = 5 + -5r + 5r Combine like terms: -5r + 5r = 0 -3 + 3r = 5 + 0 -3 + 3r = 5 Add '3' to each side of the equation. -3 + 3 + 3r = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 3r = 5 + 3 3r = 5 + 3 Combine like terms: 5 + 3 = 8 3r = 8 Divide each side by '3'. r = 2.666666667 Simplifying r = 2.666666667
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