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Simplifying -18n + -6k = 6(1 + 3k) Reorder the terms: -6k + -18n = 6(1 + 3k) -6k + -18n = (1 * 6 + 3k * 6) -6k + -18n = (6 + 18k) Solving -6k + -18n = 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. -6k + -18k + -18n = 6 + 18k + -18k Combine like terms: -6k + -18k = -24k -24k + -18n = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -24k + -18n = 6 + 0 -24k + -18n = 6 Add '18n' to each side of the equation. -24k + -18n + 18n = 6 + 18n Combine like terms: -18n + 18n = 0 -24k + 0 = 6 + 18n -24k = 6 + 18n Divide each side by '-24'. k = -0.25 + -0.75n Simplifying k = -0.25 + -0.75n
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