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Simplifying 5(r + -2) = r + -24 + 2r Reorder the terms: 5(-2 + r) = r + -24 + 2r (-2 * 5 + r * 5) = r + -24 + 2r (-10 + 5r) = r + -24 + 2r Reorder the terms: -10 + 5r = -24 + r + 2r Combine like terms: r + 2r = 3r -10 + 5r = -24 + 3r Solving -10 + 5r = -24 + 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. -10 + 5r + -3r = -24 + 3r + -3r Combine like terms: 5r + -3r = 2r -10 + 2r = -24 + 3r + -3r Combine like terms: 3r + -3r = 0 -10 + 2r = -24 + 0 -10 + 2r = -24 Add '10' to each side of the equation. -10 + 10 + 2r = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = -24 + 10 2r = -24 + 10 Combine like terms: -24 + 10 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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