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Simplifying 3(k + 8) + -16 = -19 Reorder the terms: 3(8 + k) + -16 = -19 (8 * 3 + k * 3) + -16 = -19 (24 + 3k) + -16 = -19 Reorder the terms: 24 + -16 + 3k = -19 Combine like terms: 24 + -16 = 8 8 + 3k = -19 Solving 8 + 3k = -19 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 + 3k = -19 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = -19 + -8 3k = -19 + -8 Combine like terms: -19 + -8 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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