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Simplifying -18 + -64 = 6(1 + 3k) Combine like terms: -18 + -64 = -82 -82 = 6(1 + 3k) -82 = (1 * 6 + 3k * 6) -82 = (6 + 18k) Solving -82 = 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. -82 + -18k = 6 + 18k + -18k Combine like terms: 18k + -18k = 0 -82 + -18k = 6 + 0 -82 + -18k = 6 Add '82' to each side of the equation. -82 + 82 + -18k = 6 + 82 Combine like terms: -82 + 82 = 0 0 + -18k = 6 + 82 -18k = 6 + 82 Combine like terms: 6 + 82 = 88 -18k = 88 Divide each side by '-18'. k = -4.888888889 Simplifying k = -4.888888889
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