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Simplifying -24 + 3k = -6(k + -5) Reorder the terms: -24 + 3k = -6(-5 + k) -24 + 3k = (-5 * -6 + k * -6) -24 + 3k = (30 + -6k) Solving -24 + 3k = 30 + -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. -24 + 3k + 6k = 30 + -6k + 6k Combine like terms: 3k + 6k = 9k -24 + 9k = 30 + -6k + 6k Combine like terms: -6k + 6k = 0 -24 + 9k = 30 + 0 -24 + 9k = 30 Add '24' to each side of the equation. -24 + 24 + 9k = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 9k = 30 + 24 9k = 30 + 24 Combine like terms: 30 + 24 = 54 9k = 54 Divide each side by '9'. k = 6 Simplifying k = 6
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