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Simplifying -18 + -6k + -6 = (1 + 3k) Reorder the terms: -18 + -6 + -6k = (1 + 3k) Combine like terms: -18 + -6 = -24 -24 + -6k = (1 + 3k) Remove parenthesis around (1 + 3k) -24 + -6k = 1 + 3k Solving -24 + -6k = 1 + 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. -24 + -6k + -3k = 1 + 3k + -3k Combine like terms: -6k + -3k = -9k -24 + -9k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 -24 + -9k = 1 + 0 -24 + -9k = 1 Add '24' to each side of the equation. -24 + 24 + -9k = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -9k = 1 + 24 -9k = 1 + 24 Combine like terms: 1 + 24 = 25 -9k = 25 Divide each side by '-9'. k = -2.777777778 Simplifying k = -2.777777778
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