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Simplifying -3(8r + 2) = -40 + -7r Reorder the terms: -3(2 + 8r) = -40 + -7r (2 * -3 + 8r * -3) = -40 + -7r (-6 + -24r) = -40 + -7r Solving -6 + -24r = -40 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -6 + -24r + 7r = -40 + -7r + 7r Combine like terms: -24r + 7r = -17r -6 + -17r = -40 + -7r + 7r Combine like terms: -7r + 7r = 0 -6 + -17r = -40 + 0 -6 + -17r = -40 Add '6' to each side of the equation. -6 + 6 + -17r = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -17r = -40 + 6 -17r = -40 + 6 Combine like terms: -40 + 6 = -34 -17r = -34 Divide each side by '-17'. r = 2 Simplifying r = 2
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