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Simplifying 6(1 + 3k) = -18 + -6k (1 * 6 + 3k * 6) = -18 + -6k (6 + 18k) = -18 + -6k Solving 6 + 18k = -18 + -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. 6 + 18k + 6k = -18 + -6k + 6k Combine like terms: 18k + 6k = 24k 6 + 24k = -18 + -6k + 6k Combine like terms: -6k + 6k = 0 6 + 24k = -18 + 0 6 + 24k = -18 Add '-6' to each side of the equation. 6 + -6 + 24k = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 24k = -18 + -6 24k = -18 + -6 Combine like terms: -18 + -6 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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