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Simplifying 2(3k + -8) + -6 = 0 Reorder the terms: 2(-8 + 3k) + -6 = 0 (-8 * 2 + 3k * 2) + -6 = 0 (-16 + 6k) + -6 = 0 Reorder the terms: -16 + -6 + 6k = 0 Combine like terms: -16 + -6 = -22 -22 + 6k = 0 Solving -22 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 6k = 0 + 22 6k = 0 + 22 Combine like terms: 0 + 22 = 22 6k = 22 Divide each side by '6'. k = 3.666666667 Simplifying k = 3.666666667
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