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Simplifying -18 + -6k = -1(1 + 3k) -18 + -6k = (1 * -1 + 3k * -1) -18 + -6k = (-1 + -3k) Solving -18 + -6k = -1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -18 + -6k + 3k = -1 + -3k + 3k Combine like terms: -6k + 3k = -3k -18 + -3k = -1 + -3k + 3k Combine like terms: -3k + 3k = 0 -18 + -3k = -1 + 0 -18 + -3k = -1 Add '18' to each side of the equation. -18 + 18 + -3k = -1 + 18 Combine like terms: -18 + 18 = 0 0 + -3k = -1 + 18 -3k = -1 + 18 Combine like terms: -1 + 18 = 17 -3k = 17 Divide each side by '-3'. k = -5.666666667 Simplifying k = -5.666666667
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