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Simplifying -5(1 + 2k) = -85 (1 * -5 + 2k * -5) = -85 (-5 + -10k) = -85 Solving -5 + -10k = -85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10k = -85 + 5 Combine like terms: -5 + 5 = 0 0 + -10k = -85 + 5 -10k = -85 + 5 Combine like terms: -85 + 5 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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