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Simplifying -3(5 + -1k) + -25 = 8k (5 * -3 + -1k * -3) + -25 = 8k (-15 + 3k) + -25 = 8k Reorder the terms: -15 + -25 + 3k = 8k Combine like terms: -15 + -25 = -40 -40 + 3k = 8k Solving -40 + 3k = 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. -40 + 3k + -8k = 8k + -8k Combine like terms: 3k + -8k = -5k -40 + -5k = 8k + -8k Combine like terms: 8k + -8k = 0 -40 + -5k = 0 Add '40' to each side of the equation. -40 + 40 + -5k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5k = 0 + 40 -5k = 0 + 40 Combine like terms: 0 + 40 = 40 -5k = 40 Divide each side by '-5'. k = -8 Simplifying k = -8
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