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Simplifying 6(4 + -1k) = 4 + 2(3 + -2k) (4 * 6 + -1k * 6) = 4 + 2(3 + -2k) (24 + -6k) = 4 + 2(3 + -2k) 24 + -6k = 4 + (3 * 2 + -2k * 2) 24 + -6k = 4 + (6 + -4k) Combine like terms: 4 + 6 = 10 24 + -6k = 10 + -4k Solving 24 + -6k = 10 + -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. 24 + -6k + 4k = 10 + -4k + 4k Combine like terms: -6k + 4k = -2k 24 + -2k = 10 + -4k + 4k Combine like terms: -4k + 4k = 0 24 + -2k = 10 + 0 24 + -2k = 10 Add '-24' to each side of the equation. 24 + -24 + -2k = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -2k = 10 + -24 -2k = 10 + -24 Combine like terms: 10 + -24 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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