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Simplifying 5r + -3 = 18 + 3(1 + -1r) Reorder the terms: -3 + 5r = 18 + 3(1 + -1r) -3 + 5r = 18 + (1 * 3 + -1r * 3) -3 + 5r = 18 + (3 + -3r) Combine like terms: 18 + 3 = 21 -3 + 5r = 21 + -3r Solving -3 + 5r = 21 + -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. -3 + 5r + 3r = 21 + -3r + 3r Combine like terms: 5r + 3r = 8r -3 + 8r = 21 + -3r + 3r Combine like terms: -3r + 3r = 0 -3 + 8r = 21 + 0 -3 + 8r = 21 Add '3' to each side of the equation. -3 + 3 + 8r = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = 21 + 3 8r = 21 + 3 Combine like terms: 21 + 3 = 24 8r = 24 Divide each side by '8'. r = 3 Simplifying r = 3
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