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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 = -12 24k = -12 Divide each side by '24'. k = -0.5 Simplifying k = -0.5
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