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Simplifying 45k + -8 = 15k + 382 Reorder the terms: -8 + 45k = 15k + 382 Reorder the terms: -8 + 45k = 382 + 15k Solving -8 + 45k = 382 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -8 + 45k + -15k = 382 + 15k + -15k Combine like terms: 45k + -15k = 30k -8 + 30k = 382 + 15k + -15k Combine like terms: 15k + -15k = 0 -8 + 30k = 382 + 0 -8 + 30k = 382 Add '8' to each side of the equation. -8 + 8 + 30k = 382 + 8 Combine like terms: -8 + 8 = 0 0 + 30k = 382 + 8 30k = 382 + 8 Combine like terms: 382 + 8 = 390 30k = 390 Divide each side by '30'. k = 13 Simplifying k = 13
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