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Simplifying 3r + -5 = 45 + -2r Reorder the terms: -5 + 3r = 45 + -2r Solving -5 + 3r = 45 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -5 + 3r + 2r = 45 + -2r + 2r Combine like terms: 3r + 2r = 5r -5 + 5r = 45 + -2r + 2r Combine like terms: -2r + 2r = 0 -5 + 5r = 45 + 0 -5 + 5r = 45 Add '5' to each side of the equation. -5 + 5 + 5r = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 5r = 45 + 5 5r = 45 + 5 Combine like terms: 45 + 5 = 50 5r = 50 Divide each side by '5'. r = 10 Simplifying r = 10
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