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Simplifying 4k + 4 = 2(k + 5) Reorder the terms: 4 + 4k = 2(k + 5) Reorder the terms: 4 + 4k = 2(5 + k) 4 + 4k = (5 * 2 + k * 2) 4 + 4k = (10 + 2k) Solving 4 + 4k = 10 + 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. 4 + 4k + -2k = 10 + 2k + -2k Combine like terms: 4k + -2k = 2k 4 + 2k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 2k = 10 + 0 4 + 2k = 10 Add '-4' to each side of the equation. 4 + -4 + 2k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 10 + -4 2k = 10 + -4 Combine like terms: 10 + -4 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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