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Simplifying -16 = -5 + 9(k + 3) Reorder the terms: -16 = -5 + 9(3 + k) -16 = -5 + (3 * 9 + k * 9) -16 = -5 + (27 + 9k) Combine like terms: -5 + 27 = 22 -16 = 22 + 9k Solving -16 = 22 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -16 + -9k = 22 + 9k + -9k Combine like terms: 9k + -9k = 0 -16 + -9k = 22 + 0 -16 + -9k = 22 Add '16' to each side of the equation. -16 + 16 + -9k = 22 + 16 Combine like terms: -16 + 16 = 0 0 + -9k = 22 + 16 -9k = 22 + 16 Combine like terms: 22 + 16 = 38 -9k = 38 Divide each side by '-9'. k = -4.222222222 Simplifying k = -4.222222222
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