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Simplifying -9 + 5k = 1 + 8k + 7k Combine like terms: 8k + 7k = 15k -9 + 5k = 1 + 15k Solving -9 + 5k = 1 + 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. -9 + 5k + -15k = 1 + 15k + -15k Combine like terms: 5k + -15k = -10k -9 + -10k = 1 + 15k + -15k Combine like terms: 15k + -15k = 0 -9 + -10k = 1 + 0 -9 + -10k = 1 Add '9' to each side of the equation. -9 + 9 + -10k = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -10k = 1 + 9 -10k = 1 + 9 Combine like terms: 1 + 9 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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