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Simplifying -6(k + 1) + 3k + -8 = 0 Reorder the terms: -6(1 + k) + 3k + -8 = 0 (1 * -6 + k * -6) + 3k + -8 = 0 (-6 + -6k) + 3k + -8 = 0 Reorder the terms: -6 + -8 + -6k + 3k = 0 Combine like terms: -6 + -8 = -14 -14 + -6k + 3k = 0 Combine like terms: -6k + 3k = -3k -14 + -3k = 0 Solving -14 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3k = 0 + 14 -3k = 0 + 14 Combine like terms: 0 + 14 = 14 -3k = 14 Divide each side by '-3'. k = -4.666666667 Simplifying k = -4.666666667
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