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Simplifying -3r + 9 = 1 + -5r Reorder the terms: 9 + -3r = 1 + -5r Solving 9 + -3r = 1 + -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. 9 + -3r + 5r = 1 + -5r + 5r Combine like terms: -3r + 5r = 2r 9 + 2r = 1 + -5r + 5r Combine like terms: -5r + 5r = 0 9 + 2r = 1 + 0 9 + 2r = 1 Add '-9' to each side of the equation. 9 + -9 + 2r = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = 1 + -9 2r = 1 + -9 Combine like terms: 1 + -9 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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