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Simplifying 18 = -8 + 6(k + 9) Reorder the terms: 18 = -8 + 6(9 + k) 18 = -8 + (9 * 6 + k * 6) 18 = -8 + (54 + 6k) Combine like terms: -8 + 54 = 46 18 = 46 + 6k Solving 18 = 46 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + -6k = 46 + 6k + -6k Combine like terms: 6k + -6k = 0 18 + -6k = 46 + 0 18 + -6k = 46 Add '-18' to each side of the equation. 18 + -18 + -6k = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -6k = 46 + -18 -6k = 46 + -18 Combine like terms: 46 + -18 = 28 -6k = 28 Divide each side by '-6'. k = -4.666666667 Simplifying k = -4.666666667
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