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Simplifying -1k + -1(8k + 7) = 0 Reorder the terms: -1k + -1(7 + 8k) = 0 -1k + (7 * -1 + 8k * -1) = 0 -1k + (-7 + -8k) = 0 Reorder the terms: -7 + -1k + -8k = 0 Combine like terms: -1k + -8k = -9k -7 + -9k = 0 Solving -7 + -9k = 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 + 7 + -9k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9k = 0 + 7 -9k = 0 + 7 Combine like terms: 0 + 7 = 7 -9k = 7 Divide each side by '-9'. k = -0.7777777778 Simplifying k = -0.7777777778
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