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Simplifying -8(-8k + -6) = -6k + -22 Reorder the terms: -8(-6 + -8k) = -6k + -22 (-6 * -8 + -8k * -8) = -6k + -22 (48 + 64k) = -6k + -22 Reorder the terms: 48 + 64k = -22 + -6k Solving 48 + 64k = -22 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 48 + 64k + 6k = -22 + -6k + 6k Combine like terms: 64k + 6k = 70k 48 + 70k = -22 + -6k + 6k Combine like terms: -6k + 6k = 0 48 + 70k = -22 + 0 48 + 70k = -22 Add '-48' to each side of the equation. 48 + -48 + 70k = -22 + -48 Combine like terms: 48 + -48 = 0 0 + 70k = -22 + -48 70k = -22 + -48 Combine like terms: -22 + -48 = -70 70k = -70 Divide each side by '70'. k = -1 Simplifying k = -1
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