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Simplifying -2 + -2(-7 + -4k) = -5(-1k + -6) -2 + (-7 * -2 + -4k * -2) = -5(-1k + -6) -2 + (14 + 8k) = -5(-1k + -6) Combine like terms: -2 + 14 = 12 12 + 8k = -5(-1k + -6) Reorder the terms: 12 + 8k = -5(-6 + -1k) 12 + 8k = (-6 * -5 + -1k * -5) 12 + 8k = (30 + 5k) Solving 12 + 8k = 30 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 12 + 8k + -5k = 30 + 5k + -5k Combine like terms: 8k + -5k = 3k 12 + 3k = 30 + 5k + -5k Combine like terms: 5k + -5k = 0 12 + 3k = 30 + 0 12 + 3k = 30 Add '-12' to each side of the equation. 12 + -12 + 3k = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 30 + -12 3k = 30 + -12 Combine like terms: 30 + -12 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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