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Simplifying -6(-4k + -2) + -6k = 84 Reorder the terms: -6(-2 + -4k) + -6k = 84 (-2 * -6 + -4k * -6) + -6k = 84 (12 + 24k) + -6k = 84 Combine like terms: 24k + -6k = 18k 12 + 18k = 84 Solving 12 + 18k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18k = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 18k = 84 + -12 18k = 84 + -12 Combine like terms: 84 + -12 = 72 18k = 72 Divide each side by '18'. k = 4 Simplifying k = 4
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