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Simplifying -18 + -6k = 69(1 + 3k) -18 + -6k = (1 * 69 + 3k * 69) -18 + -6k = (69 + 207k) Solving -18 + -6k = 69 + 207k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-207k' to each side of the equation. -18 + -6k + -207k = 69 + 207k + -207k Combine like terms: -6k + -207k = -213k -18 + -213k = 69 + 207k + -207k Combine like terms: 207k + -207k = 0 -18 + -213k = 69 + 0 -18 + -213k = 69 Add '18' to each side of the equation. -18 + 18 + -213k = 69 + 18 Combine like terms: -18 + 18 = 0 0 + -213k = 69 + 18 -213k = 69 + 18 Combine like terms: 69 + 18 = 87 -213k = 87 Divide each side by '-213'. k = -0.4084507042 Simplifying k = -0.4084507042
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