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Simplifying 5(r + -1) = r + -15 + 2r Reorder the terms: 5(-1 + r) = r + -15 + 2r (-1 * 5 + r * 5) = r + -15 + 2r (-5 + 5r) = r + -15 + 2r Reorder the terms: -5 + 5r = -15 + r + 2r Combine like terms: r + 2r = 3r -5 + 5r = -15 + 3r Solving -5 + 5r = -15 + 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. -5 + 5r + -3r = -15 + 3r + -3r Combine like terms: 5r + -3r = 2r -5 + 2r = -15 + 3r + -3r Combine like terms: 3r + -3r = 0 -5 + 2r = -15 + 0 -5 + 2r = -15 Add '5' to each side of the equation. -5 + 5 + 2r = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 2r = -15 + 5 2r = -15 + 5 Combine like terms: -15 + 5 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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