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Simplifying -1(5 + -6k) = -40 + -3k (5 * -1 + -6k * -1) = -40 + -3k (-5 + 6k) = -40 + -3k Solving -5 + 6k = -40 + -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. -5 + 6k + 3k = -40 + -3k + 3k Combine like terms: 6k + 3k = 9k -5 + 9k = -40 + -3k + 3k Combine like terms: -3k + 3k = 0 -5 + 9k = -40 + 0 -5 + 9k = -40 Add '5' to each side of the equation. -5 + 5 + 9k = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 9k = -40 + 5 9k = -40 + 5 Combine like terms: -40 + 5 = -35 9k = -35 Divide each side by '9'. k = -3.888888889 Simplifying k = -3.888888889
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