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Simplifying -18 = 6(1 + 3k) + 6 -18 = (1 * 6 + 3k * 6) + 6 -18 = (6 + 18k) + 6 Reorder the terms: -18 = 6 + 6 + 18k Combine like terms: 6 + 6 = 12 -18 = 12 + 18k Solving -18 = 12 + 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. -18 + -18k = 12 + 18k + -18k Combine like terms: 18k + -18k = 0 -18 + -18k = 12 + 0 -18 + -18k = 12 Add '18' to each side of the equation. -18 + 18 + -18k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -18k = 12 + 18 -18k = 12 + 18 Combine like terms: 12 + 18 = 30 -18k = 30 Divide each side by '-18'. k = -1.666666667 Simplifying k = -1.666666667
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