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Simplifying 0.5(14k + -8) = 10 Reorder the terms: 0.5(-8 + 14k) = 10 (-8 * 0.5 + 14k * 0.5) = 10 (-4 + 7k) = 10 Solving -4 + 7k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7k = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7k = 10 + 4 7k = 10 + 4 Combine like terms: 10 + 4 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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