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Simplifying -6(1 + -3k) = 40 + -5k (1 * -6 + -3k * -6) = 40 + -5k (-6 + 18k) = 40 + -5k Solving -6 + 18k = 40 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + 18k + 5k = 40 + -5k + 5k Combine like terms: 18k + 5k = 23k -6 + 23k = 40 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + 23k = 40 + 0 -6 + 23k = 40 Add '6' to each side of the equation. -6 + 6 + 23k = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 23k = 40 + 6 23k = 40 + 6 Combine like terms: 40 + 6 = 46 23k = 46 Divide each side by '23'. k = 2 Simplifying k = 2
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