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Simplifying 5(6k + -7) = 0 Reorder the terms: 5(-7 + 6k) = 0 (-7 * 5 + 6k * 5) = 0 (-35 + 30k) = 0 Solving -35 + 30k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 30k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 30k = 0 + 35 30k = 0 + 35 Combine like terms: 0 + 35 = 35 30k = 35 Divide each side by '30'. k = 1.166666667 Simplifying k = 1.166666667
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