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Simplifying -18 = 6(2 + k) -18 = (2 * 6 + k * 6) -18 = (12 + 6k) Solving -18 = 12 + 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 = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -18 + -6k = 12 + 0 -18 + -6k = 12 Add '18' to each side of the equation. -18 + 18 + -6k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -6k = 12 + 18 -6k = 12 + 18 Combine like terms: 12 + 18 = 30 -6k = 30 Divide each side by '-6'. k = -5 Simplifying k = -5
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