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Simplifying 5(r + -1) = 2(1 + -1r) Reorder the terms: 5(-1 + r) = 2(1 + -1r) (-1 * 5 + r * 5) = 2(1 + -1r) (-5 + 5r) = 2(1 + -1r) -5 + 5r = (1 * 2 + -1r * 2) -5 + 5r = (2 + -2r) Solving -5 + 5r = 2 + -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 = 2 + -2r + 2r Combine like terms: 5r + 2r = 7r -5 + 7r = 2 + -2r + 2r Combine like terms: -2r + 2r = 0 -5 + 7r = 2 + 0 -5 + 7r = 2 Add '5' to each side of the equation. -5 + 5 + 7r = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7r = 2 + 5 7r = 2 + 5 Combine like terms: 2 + 5 = 7 7r = 7 Divide each side by '7'. r = 1 Simplifying r = 1
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