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Simplifying 3(k + 4) + -8k + 4 + 2 = 0 Reorder the terms: 3(4 + k) + -8k + 4 + 2 = 0 (4 * 3 + k * 3) + -8k + 4 + 2 = 0 (12 + 3k) + -8k + 4 + 2 = 0 Reorder the terms: 12 + 4 + 2 + 3k + -8k = 0 Combine like terms: 12 + 4 = 16 16 + 2 + 3k + -8k = 0 Combine like terms: 16 + 2 = 18 18 + 3k + -8k = 0 Combine like terms: 3k + -8k = -5k 18 + -5k = 0 Solving 18 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -5k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -5k = 0 + -18 -5k = 0 + -18 Combine like terms: 0 + -18 = -18 -5k = -18 Divide each side by '-5'. k = 3.6 Simplifying k = 3.6
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