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Simplifying 7(4 + 2k) + 3 = -81 (4 * 7 + 2k * 7) + 3 = -81 (28 + 14k) + 3 = -81 Reorder the terms: 28 + 3 + 14k = -81 Combine like terms: 28 + 3 = 31 31 + 14k = -81 Solving 31 + 14k = -81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 14k = -81 + -31 Combine like terms: 31 + -31 = 0 0 + 14k = -81 + -31 14k = -81 + -31 Combine like terms: -81 + -31 = -112 14k = -112 Divide each side by '14'. k = -8 Simplifying k = -8
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