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