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Simplifying 5k + -6(k + -1) = 8 Reorder the terms: 5k + -6(-1 + k) = 8 5k + (-1 * -6 + k * -6) = 8 5k + (6 + -6k) = 8 Reorder the terms: 6 + 5k + -6k = 8 Combine like terms: 5k + -6k = -1k 6 + -1k = 8 Solving 6 + -1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1k = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 8 + -6 -1k = 8 + -6 Combine like terms: 8 + -6 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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