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Simplifying 8(-5 + 7k) = 0 (-5 * 8 + 7k * 8) = 0 (-40 + 56k) = 0 Solving -40 + 56k = 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 + 56k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 56k = 0 + 40 56k = 0 + 40 Combine like terms: 0 + 40 = 40 56k = 40 Divide each side by '56'. k = 0.7142857143 Simplifying k = 0.7142857143
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