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Simplifying -18 + -1k = 6(1 + 5k) -18 + -1k = (1 * 6 + 5k * 6) -18 + -1k = (6 + 30k) Solving -18 + -1k = 6 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -18 + -1k + -30k = 6 + 30k + -30k Combine like terms: -1k + -30k = -31k -18 + -31k = 6 + 30k + -30k Combine like terms: 30k + -30k = 0 -18 + -31k = 6 + 0 -18 + -31k = 6 Add '18' to each side of the equation. -18 + 18 + -31k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -31k = 6 + 18 -31k = 6 + 18 Combine like terms: 6 + 18 = 24 -31k = 24 Divide each side by '-31'. k = -0.7741935484 Simplifying k = -0.7741935484
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