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Simplifying 3(1 + 2k) + 5k = -85 (1 * 3 + 2k * 3) + 5k = -85 (3 + 6k) + 5k = -85 Combine like terms: 6k + 5k = 11k 3 + 11k = -85 Solving 3 + 11k = -85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11k = -85 + -3 Combine like terms: 3 + -3 = 0 0 + 11k = -85 + -3 11k = -85 + -3 Combine like terms: -85 + -3 = -88 11k = -88 Divide each side by '11'. k = -8 Simplifying k = -8
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