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Simplifying -24 + 6k = -6(4k + -1) Reorder the terms: -24 + 6k = -6(-1 + 4k) -24 + 6k = (-1 * -6 + 4k * -6) -24 + 6k = (6 + -24k) Solving -24 + 6k = 6 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -24 + 6k + 24k = 6 + -24k + 24k Combine like terms: 6k + 24k = 30k -24 + 30k = 6 + -24k + 24k Combine like terms: -24k + 24k = 0 -24 + 30k = 6 + 0 -24 + 30k = 6 Add '24' to each side of the equation. -24 + 24 + 30k = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 30k = 6 + 24 30k = 6 + 24 Combine like terms: 6 + 24 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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