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Simplifying -5(k + 3) = -8k + 3 Reorder the terms: -5(3 + k) = -8k + 3 (3 * -5 + k * -5) = -8k + 3 (-15 + -5k) = -8k + 3 Reorder the terms: -15 + -5k = 3 + -8k Solving -15 + -5k = 3 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -15 + -5k + 8k = 3 + -8k + 8k Combine like terms: -5k + 8k = 3k -15 + 3k = 3 + -8k + 8k Combine like terms: -8k + 8k = 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 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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