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Simplifying 4(k + 6) = 6(k + 2) Reorder the terms: 4(6 + k) = 6(k + 2) (6 * 4 + k * 4) = 6(k + 2) (24 + 4k) = 6(k + 2) Reorder the terms: 24 + 4k = 6(2 + k) 24 + 4k = (2 * 6 + k * 6) 24 + 4k = (12 + 6k) Solving 24 + 4k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 24 + 4k + -6k = 12 + 6k + -6k Combine like terms: 4k + -6k = -2k 24 + -2k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 24 + -2k = 12 + 0 24 + -2k = 12 Add '-24' to each side of the equation. 24 + -24 + -2k = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2k = 12 + -24 -2k = 12 + -24 Combine like terms: 12 + -24 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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