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Simplifying -5(8 + -3k) = 0 (8 * -5 + -3k * -5) = 0 (-40 + 15k) = 0 Solving -40 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 15k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 15k = 0 + 40 15k = 0 + 40 Combine like terms: 0 + 40 = 40 15k = 40 Divide each side by '15'. k = 2.666666667 Simplifying k = 2.666666667
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