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Simplifying 6(k + -4) = 6 + -1(6 + -4k) Reorder the terms: 6(-4 + k) = 6 + -1(6 + -4k) (-4 * 6 + k * 6) = 6 + -1(6 + -4k) (-24 + 6k) = 6 + -1(6 + -4k) -24 + 6k = 6 + (6 * -1 + -4k * -1) -24 + 6k = 6 + (-6 + 4k) Combine like terms: 6 + -6 = 0 -24 + 6k = 0 + 4k -24 + 6k = 4k Solving -24 + 6k = 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 = 4k + -4k Combine like terms: 6k + -4k = 2k -24 + 2k = 4k + -4k Combine like terms: 4k + -4k = 0 -24 + 2k = 0 Add '24' to each side of the equation. -24 + 24 + 2k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2k = 0 + 24 2k = 0 + 24 Combine like terms: 0 + 24 = 24 2k = 24 Divide each side by '2'. k = 12 Simplifying k = 12
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