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Simplifying -18 + -6k + -6(1 + 3k) = 0 -18 + -6k + (1 * -6 + 3k * -6) = 0 -18 + -6k + (-6 + -18k) = 0 Reorder the terms: -18 + -6 + -6k + -18k = 0 Combine like terms: -18 + -6 = -24 -24 + -6k + -18k = 0 Combine like terms: -6k + -18k = -24k -24 + -24k = 0 Solving -24 + -24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -24k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -24k = 0 + 24 -24k = 0 + 24 Combine like terms: 0 + 24 = 24 -24k = 24 Divide each side by '-24'. k = -1 Simplifying k = -1
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