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Simplifying 16 + 5k = -2(k + 3) + -6 Reorder the terms: 16 + 5k = -2(3 + k) + -6 16 + 5k = (3 * -2 + k * -2) + -6 16 + 5k = (-6 + -2k) + -6 Reorder the terms: 16 + 5k = -6 + -6 + -2k Combine like terms: -6 + -6 = -12 16 + 5k = -12 + -2k Solving 16 + 5k = -12 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 16 + 5k + 2k = -12 + -2k + 2k Combine like terms: 5k + 2k = 7k 16 + 7k = -12 + -2k + 2k Combine like terms: -2k + 2k = 0 16 + 7k = -12 + 0 16 + 7k = -12 Add '-16' to each side of the equation. 16 + -16 + 7k = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 7k = -12 + -16 7k = -12 + -16 Combine like terms: -12 + -16 = -28 7k = -28 Divide each side by '7'. k = -4 Simplifying k = -4
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