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Simplifying 5(r + -1) = 2r + 1 Reorder the terms: 5(-1 + r) = 2r + 1 (-1 * 5 + r * 5) = 2r + 1 (-5 + 5r) = 2r + 1 Reorder the terms: -5 + 5r = 1 + 2r Solving -5 + 5r = 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 + 5r + -2r = 1 + 2r + -2r Combine like terms: 5r + -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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