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Simplifying -5(8k + -3) = 3k + 15 Reorder the terms: -5(-3 + 8k) = 3k + 15 (-3 * -5 + 8k * -5) = 3k + 15 (15 + -40k) = 3k + 15 Reorder the terms: 15 + -40k = 15 + 3k Add '-15' to each side of the equation. 15 + -15 + -40k = 15 + -15 + 3k Combine like terms: 15 + -15 = 0 0 + -40k = 15 + -15 + 3k -40k = 15 + -15 + 3k Combine like terms: 15 + -15 = 0 -40k = 0 + 3k -40k = 3k Solving -40k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -40k + -3k = 3k + -3k Combine like terms: -40k + -3k = -43k -43k = 3k + -3k Combine like terms: 3k + -3k = 0 -43k = 0 Divide each side by '-43'. k = 0 Simplifying k = 0
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