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Simplifying 3(k + 4) + -11k + 5 + 2 = 0 Reorder the terms: 3(4 + k) + -11k + 5 + 2 = 0 (4 * 3 + k * 3) + -11k + 5 + 2 = 0 (12 + 3k) + -11k + 5 + 2 = 0 Reorder the terms: 12 + 5 + 2 + 3k + -11k = 0 Combine like terms: 12 + 5 = 17 17 + 2 + 3k + -11k = 0 Combine like terms: 17 + 2 = 19 19 + 3k + -11k = 0 Combine like terms: 3k + -11k = -8k 19 + -8k = 0 Solving 19 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -8k = 0 + -19 -8k = 0 + -19 Combine like terms: 0 + -19 = -19 -8k = -19 Divide each side by '-8'. k = 2.375 Simplifying k = 2.375
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