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Simplifying 0.5k + 4 = 2(k + 2) Reorder the terms: 4 + 0.5k = 2(k + 2) Reorder the terms: 4 + 0.5k = 2(2 + k) 4 + 0.5k = (2 * 2 + k * 2) 4 + 0.5k = (4 + 2k) Add '-4' to each side of the equation. 4 + -4 + 0.5k = 4 + -4 + 2k Combine like terms: 4 + -4 = 0 0 + 0.5k = 4 + -4 + 2k 0.5k = 4 + -4 + 2k Combine like terms: 4 + -4 = 0 0.5k = 0 + 2k 0.5k = 2k Solving 0.5k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 0.5k + -2k = 2k + -2k Combine like terms: 0.5k + -2k = -1.5k -1.5k = 2k + -2k Combine like terms: 2k + -2k = 0 -1.5k = 0 Divide each side by '-1.5'. k = 0 Simplifying k = 0
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