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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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