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Simplifying 8(8 + -1k) = -4(k + -6) (8 * 8 + -1k * 8) = -4(k + -6) (64 + -8k) = -4(k + -6) Reorder the terms: 64 + -8k = -4(-6 + k) 64 + -8k = (-6 * -4 + k * -4) 64 + -8k = (24 + -4k) Solving 64 + -8k = 24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 64 + -8k + 4k = 24 + -4k + 4k Combine like terms: -8k + 4k = -4k 64 + -4k = 24 + -4k + 4k Combine like terms: -4k + 4k = 0 64 + -4k = 24 + 0 64 + -4k = 24 Add '-64' to each side of the equation. 64 + -64 + -4k = 24 + -64 Combine like terms: 64 + -64 = 0 0 + -4k = 24 + -64 -4k = 24 + -64 Combine like terms: 24 + -64 = -40 -4k = -40 Divide each side by '-4'. k = 10 Simplifying k = 10
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