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Simplifying -4(4k + -1) = -6k + 24 Reorder the terms: -4(-1 + 4k) = -6k + 24 (-1 * -4 + 4k * -4) = -6k + 24 (4 + -16k) = -6k + 24 Reorder the terms: 4 + -16k = 24 + -6k Solving 4 + -16k = 24 + -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. 4 + -16k + 6k = 24 + -6k + 6k Combine like terms: -16k + 6k = -10k 4 + -10k = 24 + -6k + 6k Combine like terms: -6k + 6k = 0 4 + -10k = 24 + 0 4 + -10k = 24 Add '-4' to each side of the equation. 4 + -4 + -10k = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -10k = 24 + -4 -10k = 24 + -4 Combine like terms: 24 + -4 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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