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Simplifying 0.5(2k + 6) = 0.75 Reorder the terms: 0.5(6 + 2k) = 0.75 (6 * 0.5 + 2k * 0.5) = 0.75 (3 + 1k) = 0.75 Solving 3 + 1k = 0.75 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1k = 0.75 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 0.75 + -3 1k = 0.75 + -3 Combine like terms: 0.75 + -3 = -2.25 1k = -2.25 Divide each side by '1'. k = -2.25 Simplifying k = -2.25
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