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Simplifying -10(-10 + k) = -80 (-10 * -10 + k * -10) = -80 (100 + -10k) = -80 Solving 100 + -10k = -80 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -10k = -80 + -100 Combine like terms: 100 + -100 = 0 0 + -10k = -80 + -100 -10k = -80 + -100 Combine like terms: -80 + -100 = -180 -10k = -180 Divide each side by '-10'. k = 18 Simplifying k = 18
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