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Simplifying -18 + -6 + -6k = 6(1 + 3k) Combine like terms: -18 + -6 = -24 -24 + -6k = 6(1 + 3k) -24 + -6k = (1 * 6 + 3k * 6) -24 + -6k = (6 + 18k) Solving -24 + -6k = 6 + 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. -24 + -6k + -18k = 6 + 18k + -18k Combine like terms: -6k + -18k = -24k -24 + -24k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -24 + -24k = 6 + 0 -24 + -24k = 6 Add '24' to each side of the equation. -24 + 24 + -24k = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -24k = 6 + 24 -24k = 6 + 24 Combine like terms: 6 + 24 = 30 -24k = 30 Divide each side by '-24'. k = -1.25 Simplifying k = -1.25
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