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Simplifying 5(-8 + k) = 40 + -4k (-8 * 5 + k * 5) = 40 + -4k (-40 + 5k) = 40 + -4k Solving -40 + 5k = 40 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -40 + 5k + 4k = 40 + -4k + 4k Combine like terms: 5k + 4k = 9k -40 + 9k = 40 + -4k + 4k Combine like terms: -4k + 4k = 0 -40 + 9k = 40 + 0 -40 + 9k = 40 Add '40' to each side of the equation. -40 + 40 + 9k = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 9k = 40 + 40 9k = 40 + 40 Combine like terms: 40 + 40 = 80 9k = 80 Divide each side by '9'. k = 8.888888889 Simplifying k = 8.888888889
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