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Simplifying 16 = -2(k + 9) Reorder the terms: 16 = -2(9 + k) 16 = (9 * -2 + k * -2) 16 = (-18 + -2k) Solving 16 = -18 + -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 + 2k = -18 + -2k + 2k Combine like terms: -2k + 2k = 0 16 + 2k = -18 + 0 16 + 2k = -18 Add '-16' to each side of the equation. 16 + -16 + 2k = -18 + -16 Combine like terms: 16 + -16 = 0 0 + 2k = -18 + -16 2k = -18 + -16 Combine like terms: -18 + -16 = -34 2k = -34 Divide each side by '2'. k = -17 Simplifying k = -17
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