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Simplifying 4(k + 2) + -3k = -6 + 9 Reorder the terms: 4(2 + k) + -3k = -6 + 9 (2 * 4 + k * 4) + -3k = -6 + 9 (8 + 4k) + -3k = -6 + 9 Combine like terms: 4k + -3k = 1k 8 + 1k = -6 + 9 Combine like terms: -6 + 9 = 3 8 + 1k = 3 Solving 8 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1k = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 3 + -8 1k = 3 + -8 Combine like terms: 3 + -8 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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