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Simplifying 4(6 + -1k) = 2(5 + -1k) (6 * 4 + -1k * 4) = 2(5 + -1k) (24 + -4k) = 2(5 + -1k) 24 + -4k = (5 * 2 + -1k * 2) 24 + -4k = (10 + -2k) Solving 24 + -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. 24 + -4k + 2k = 10 + -2k + 2k Combine like terms: -4k + 2k = -2k 24 + -2k = 10 + -2k + 2k Combine like terms: -2k + 2k = 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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