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Simplifying -30k + -2 + 35k = 8 + 15k Reorder the terms: -2 + -30k + 35k = 8 + 15k Combine like terms: -30k + 35k = 5k -2 + 5k = 8 + 15k Solving -2 + 5k = 8 + 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. -2 + 5k + -15k = 8 + 15k + -15k Combine like terms: 5k + -15k = -10k -2 + -10k = 8 + 15k + -15k Combine like terms: 15k + -15k = 0 -2 + -10k = 8 + 0 -2 + -10k = 8 Add '2' to each side of the equation. -2 + 2 + -10k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -10k = 8 + 2 -10k = 8 + 2 Combine like terms: 8 + 2 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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