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Simplifying 6(k + 3) = 4(k + 7) Reorder the terms: 6(3 + k) = 4(k + 7) (3 * 6 + k * 6) = 4(k + 7) (18 + 6k) = 4(k + 7) Reorder the terms: 18 + 6k = 4(7 + k) 18 + 6k = (7 * 4 + k * 4) 18 + 6k = (28 + 4k) Solving 18 + 6k = 28 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 18 + 6k + -4k = 28 + 4k + -4k Combine like terms: 6k + -4k = 2k 18 + 2k = 28 + 4k + -4k Combine like terms: 4k + -4k = 0 18 + 2k = 28 + 0 18 + 2k = 28 Add '-18' to each side of the equation. 18 + -18 + 2k = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 28 + -18 2k = 28 + -18 Combine like terms: 28 + -18 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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