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Simplifying -6k + -8(1 + -8k) = -182 -6k + (1 * -8 + -8k * -8) = -182 -6k + (-8 + 64k) = -182 Reorder the terms: -8 + -6k + 64k = -182 Combine like terms: -6k + 64k = 58k -8 + 58k = -182 Solving -8 + 58k = -182 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 58k = -182 + 8 Combine like terms: -8 + 8 = 0 0 + 58k = -182 + 8 58k = -182 + 8 Combine like terms: -182 + 8 = -174 58k = -174 Divide each side by '58'. k = -3 Simplifying k = -3
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