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Simplifying 85 = 8(1 + -1k) + -3k 85 = (1 * 8 + -1k * 8) + -3k 85 = (8 + -8k) + -3k Combine like terms: -8k + -3k = -11k 85 = 8 + -11k Solving 85 = 8 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. 85 + 11k = 8 + -11k + 11k Combine like terms: -11k + 11k = 0 85 + 11k = 8 + 0 85 + 11k = 8 Add '-85' to each side of the equation. 85 + -85 + 11k = 8 + -85 Combine like terms: 85 + -85 = 0 0 + 11k = 8 + -85 11k = 8 + -85 Combine like terms: 8 + -85 = -77 11k = -77 Divide each side by '11'. k = -7 Simplifying k = -7
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