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Simplifying 3(4k + -5) + 10k = 0 Reorder the terms: 3(-5 + 4k) + 10k = 0 (-5 * 3 + 4k * 3) + 10k = 0 (-15 + 12k) + 10k = 0 Combine like terms: 12k + 10k = 22k -15 + 22k = 0 Solving -15 + 22k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 22k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 22k = 0 + 15 22k = 0 + 15 Combine like terms: 0 + 15 = 15 22k = 15 Divide each side by '22'. k = 0.6818181818 Simplifying k = 0.6818181818
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