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Simplifying 0.5(k + -5) = 3 Reorder the terms: 0.5(-5 + k) = 3 (-5 * 0.5 + k * 0.5) = 3 (-2.5 + 0.5k) = 3 Solving -2.5 + 0.5k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.5k = 3 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.5k = 3 + 2.5 0.5k = 3 + 2.5 Combine like terms: 3 + 2.5 = 5.5 0.5k = 5.5 Divide each side by '0.5'. k = 11 Simplifying k = 11
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