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Simplifying -18 + 6k = 6(1 + -3k) -18 + 6k = (1 * 6 + -3k * 6) -18 + 6k = (6 + -18k) Solving -18 + 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. -18 + 6k + 18k = 6 + -18k + 18k Combine like terms: 6k + 18k = 24k -18 + 24k = 6 + -18k + 18k Combine like terms: -18k + 18k = 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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