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Simplifying 8 = -1(1 + 9k) + -6k 8 = (1 * -1 + 9k * -1) + -6k 8 = (-1 + -9k) + -6k Combine like terms: -9k + -6k = -15k 8 = -1 + -15k Solving 8 = -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. 8 + 15k = -1 + -15k + 15k Combine like terms: -15k + 15k = 0 8 + 15k = -1 + 0 8 + 15k = -1 Add '-8' to each side of the equation. 8 + -8 + 15k = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 15k = -1 + -8 15k = -1 + -8 Combine like terms: -1 + -8 = -9 15k = -9 Divide each side by '15'. k = -0.6 Simplifying k = -0.6
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