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Simplifying -16 = -3(6k + 9) Reorder the terms: -16 = -3(9 + 6k) -16 = (9 * -3 + 6k * -3) -16 = (-27 + -18k) Solving -16 = -27 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -16 + 18k = -27 + -18k + 18k Combine like terms: -18k + 18k = 0 -16 + 18k = -27 + 0 -16 + 18k = -27 Add '16' to each side of the equation. -16 + 16 + 18k = -27 + 16 Combine like terms: -16 + 16 = 0 0 + 18k = -27 + 16 18k = -27 + 16 Combine like terms: -27 + 16 = -11 18k = -11 Divide each side by '18'. k = -0.6111111111 Simplifying k = -0.6111111111
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