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Simplifying -18 + -6k = 6(1 + 9k) -18 + -6k = (1 * 6 + 9k * 6) -18 + -6k = (6 + 54k) Solving -18 + -6k = 6 + 54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54k' to each side of the equation. -18 + -6k + -54k = 6 + 54k + -54k Combine like terms: -6k + -54k = -60k -18 + -60k = 6 + 54k + -54k Combine like terms: 54k + -54k = 0 -18 + -60k = 6 + 0 -18 + -60k = 6 Add '18' to each side of the equation. -18 + 18 + -60k = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -60k = 6 + 18 -60k = 6 + 18 Combine like terms: 6 + 18 = 24 -60k = 24 Divide each side by '-60'. k = -0.4 Simplifying k = -0.4
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