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Simplifying 3 + 0.5(k + 1) = 6 Reorder the terms: 3 + 0.5(1 + k) = 6 3 + (1 * 0.5 + k * 0.5) = 6 3 + (0.5 + 0.5k) = 6 Combine like terms: 3 + 0.5 = 3.5 3.5 + 0.5k = 6 Solving 3.5 + 0.5k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.5k = 6 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.5k = 6 + -3.5 0.5k = 6 + -3.5 Combine like terms: 6 + -3.5 = 2.5 0.5k = 2.5 Divide each side by '0.5'. k = 5 Simplifying k = 5
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