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Simplifying -5(-1k + -20) + 15 = -5k + -18 + 3 Reorder the terms: -5(-20 + -1k) + 15 = -5k + -18 + 3 (-20 * -5 + -1k * -5) + 15 = -5k + -18 + 3 (100 + 5k) + 15 = -5k + -18 + 3 Reorder the terms: 100 + 15 + 5k = -5k + -18 + 3 Combine like terms: 100 + 15 = 115 115 + 5k = -5k + -18 + 3 Reorder the terms: 115 + 5k = -18 + 3 + -5k Combine like terms: -18 + 3 = -15 115 + 5k = -15 + -5k Solving 115 + 5k = -15 + -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. 115 + 5k + 5k = -15 + -5k + 5k Combine like terms: 5k + 5k = 10k 115 + 10k = -15 + -5k + 5k Combine like terms: -5k + 5k = 0 115 + 10k = -15 + 0 115 + 10k = -15 Add '-115' to each side of the equation. 115 + -115 + 10k = -15 + -115 Combine like terms: 115 + -115 = 0 0 + 10k = -15 + -115 10k = -15 + -115 Combine like terms: -15 + -115 = -130 10k = -130 Divide each side by '10'. k = -13 Simplifying k = -13
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