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Simplifying 7k + -35 + 9k + 1 = 15k Reorder the terms: -35 + 1 + 7k + 9k = 15k Combine like terms: -35 + 1 = -34 -34 + 7k + 9k = 15k Combine like terms: 7k + 9k = 16k -34 + 16k = 15k Solving -34 + 16k = 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. -34 + 16k + -15k = 15k + -15k Combine like terms: 16k + -15k = 1k -34 + 1k = 15k + -15k Combine like terms: 15k + -15k = 0 -34 + 1k = 0 Add '34' to each side of the equation. -34 + 34 + 1k = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 1k = 0 + 34 1k = 0 + 34 Combine like terms: 0 + 34 = 34 1k = 34 Divide each side by '1'. k = 34 Simplifying k = 34
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