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