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Simplifying -3(r + 8) = 5r Reorder the terms: -3(8 + r) = 5r (8 * -3 + r * -3) = 5r (-24 + -3r) = 5r Solving -24 + -3r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -24 + -3r + -5r = 5r + -5r Combine like terms: -3r + -5r = -8r -24 + -8r = 5r + -5r Combine like terms: 5r + -5r = 0 -24 + -8r = 0 Add '24' to each side of the equation. -24 + 24 + -8r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8r = 0 + 24 -8r = 0 + 24 Combine like terms: 0 + 24 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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