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Simplifying r + -5 = 1 + -2r Reorder the terms: -5 + r = 1 + -2r Solving -5 + r = 1 + -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 + r + 2r = 1 + -2r + 2r Combine like terms: r + 2r = 3r -5 + 3r = 1 + -2r + 2r Combine like terms: -2r + 2r = 0 -5 + 3r = 1 + 0 -5 + 3r = 1 Add '5' to each side of the equation. -5 + 5 + 3r = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = 1 + 5 3r = 1 + 5 Combine like terms: 1 + 5 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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