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Simplifying 18 = -4 + 3(k + 9) Reorder the terms: 18 = -4 + 3(9 + k) 18 = -4 + (9 * 3 + k * 3) 18 = -4 + (27 + 3k) Combine like terms: -4 + 27 = 23 18 = 23 + 3k Solving 18 = 23 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 18 + -3k = 23 + 3k + -3k Combine like terms: 3k + -3k = 0 18 + -3k = 23 + 0 18 + -3k = 23 Add '-18' to each side of the equation. 18 + -18 + -3k = 23 + -18 Combine like terms: 18 + -18 = 0 0 + -3k = 23 + -18 -3k = 23 + -18 Combine like terms: 23 + -18 = 5 -3k = 5 Divide each side by '-3'. k = -1.666666667 Simplifying k = -1.666666667
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