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Simplifying -15 + 8 + -1k + 9k + n = 0 Combine like terms: -15 + 8 = -7 -7 + -1k + 9k + n = 0 Combine like terms: -1k + 9k = 8k -7 + 8k + n = 0 Solving -7 + 8k + n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 8k + 7 + n = 0 + 7 Reorder the terms: -7 + 7 + 8k + n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8k + n = 0 + 7 8k + n = 0 + 7 Combine like terms: 0 + 7 = 7 8k + n = 7 Add '-1n' to each side of the equation. 8k + n + -1n = 7 + -1n Combine like terms: n + -1n = 0 8k + 0 = 7 + -1n 8k = 7 + -1n Divide each side by '8'. k = 0.875 + -0.125n Simplifying k = 0.875 + -0.125n
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