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Simplifying 10(10 + k) = -90 (10 * 10 + k * 10) = -90 (100 + 10k) = -90 Solving 100 + 10k = -90 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 = -90 + -100 Combine like terms: 100 + -100 = 0 0 + 10k = -90 + -100 10k = -90 + -100 Combine like terms: -90 + -100 = -190 10k = -190 Divide each side by '10'. k = -19 Simplifying k = -19
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