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Simplifying -80 = -8(2 + 8k) -80 = (2 * -8 + 8k * -8) -80 = (-16 + -64k) Solving -80 = -16 + -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. -80 + 64k = -16 + -64k + 64k Combine like terms: -64k + 64k = 0 -80 + 64k = -16 + 0 -80 + 64k = -16 Add '80' to each side of the equation. -80 + 80 + 64k = -16 + 80 Combine like terms: -80 + 80 = 0 0 + 64k = -16 + 80 64k = -16 + 80 Combine like terms: -16 + 80 = 64 64k = 64 Divide each side by '64'. k = 1 Simplifying k = 1
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