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Simplifying 5(-3k + 5) = -5k + -25 Reorder the terms: 5(5 + -3k) = -5k + -25 (5 * 5 + -3k * 5) = -5k + -25 (25 + -15k) = -5k + -25 Reorder the terms: 25 + -15k = -25 + -5k Solving 25 + -15k = -25 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 25 + -15k + 5k = -25 + -5k + 5k Combine like terms: -15k + 5k = -10k 25 + -10k = -25 + -5k + 5k Combine like terms: -5k + 5k = 0 25 + -10k = -25 + 0 25 + -10k = -25 Add '-25' to each side of the equation. 25 + -25 + -10k = -25 + -25 Combine like terms: 25 + -25 = 0 0 + -10k = -25 + -25 -10k = -25 + -25 Combine like terms: -25 + -25 = -50 -10k = -50 Divide each side by '-10'. k = 5 Simplifying k = 5
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