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Simplifying 3r + -23 = 77 + -2r Reorder the terms: -23 + 3r = 77 + -2r Solving -23 + 3r = 77 + -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. -23 + 3r + 2r = 77 + -2r + 2r Combine like terms: 3r + 2r = 5r -23 + 5r = 77 + -2r + 2r Combine like terms: -2r + 2r = 0 -23 + 5r = 77 + 0 -23 + 5r = 77 Add '23' to each side of the equation. -23 + 23 + 5r = 77 + 23 Combine like terms: -23 + 23 = 0 0 + 5r = 77 + 23 5r = 77 + 23 Combine like terms: 77 + 23 = 100 5r = 100 Divide each side by '5'. r = 20 Simplifying r = 20
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