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Simplifying -18 + -6k = 6(1 + 6k) -18 + -6k = (1 * 6 + 6k * 6) -18 + -6k = (6 + 36k) Solving -18 + -6k = 6 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. -18 + -6k + -36k = 6 + 36k + -36k Combine like terms: -6k + -36k = -42k -18 + -42k = 6 + 36k + -36k Combine like terms: 36k + -36k = 0 -18 + -42k = 6 + 0 -18 + -42k = 6 Add '18' to each side of the equation. -18 + 18 + -42k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -42k = 6 + 18 -42k = 6 + 18 Combine like terms: 6 + 18 = 24 -42k = 24 Divide each side by '-42'. k = -0.5714285714 Simplifying k = -0.5714285714
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