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Simplifying -3(8 + -4r) = -31 + 5r (8 * -3 + -4r * -3) = -31 + 5r (-24 + 12r) = -31 + 5r Solving -24 + 12r = -31 + 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 + 12r + -5r = -31 + 5r + -5r Combine like terms: 12r + -5r = 7r -24 + 7r = -31 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 7r = -31 + 0 -24 + 7r = -31 Add '24' to each side of the equation. -24 + 24 + 7r = -31 + 24 Combine like terms: -24 + 24 = 0 0 + 7r = -31 + 24 7r = -31 + 24 Combine like terms: -31 + 24 = -7 7r = -7 Divide each side by '7'. r = -1 Simplifying r = -1
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