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Simplifying -3(k + 5) = -3 + -6k Reorder the terms: -3(5 + k) = -3 + -6k (5 * -3 + k * -3) = -3 + -6k (-15 + -3k) = -3 + -6k Solving -15 + -3k = -3 + -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. -15 + -3k + 6k = -3 + -6k + 6k Combine like terms: -3k + 6k = 3k -15 + 3k = -3 + -6k + 6k Combine like terms: -6k + 6k = 0 -15 + 3k = -3 + 0 -15 + 3k = -3 Add '15' to each side of the equation. -15 + 15 + 3k = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 3k = -3 + 15 3k = -3 + 15 Combine like terms: -3 + 15 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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