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Simplifying 0.5(k + -8) = 6 Reorder the terms: 0.5(-8 + k) = 6 (-8 * 0.5 + k * 0.5) = 6 (-4 + 0.5k) = 6 Solving -4 + 0.5k = 6 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 + 0.5k = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 0.5k = 6 + 4 0.5k = 6 + 4 Combine like terms: 6 + 4 = 10 0.5k = 10 Divide each side by '0.5'. k = 20 Simplifying k = 20
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