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Simplifying 0.5(k + 5) = 7 Reorder the terms: 0.5(5 + k) = 7 (5 * 0.5 + k * 0.5) = 7 (2.5 + 0.5k) = 7 Solving 2.5 + 0.5k = 7 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 = 7 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5k = 7 + -2.5 0.5k = 7 + -2.5 Combine like terms: 7 + -2.5 = 4.5 0.5k = 4.5 Divide each side by '0.5'. k = 9 Simplifying k = 9
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