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