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Simplifying 11 = 10(k + -9) Reorder the terms: 11 = 10(-9 + k) 11 = (-9 * 10 + k * 10) 11 = (-90 + 10k) Solving 11 = -90 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 11 + -10k = -90 + 10k + -10k Combine like terms: 10k + -10k = 0 11 + -10k = -90 + 0 11 + -10k = -90 Add '-11' to each side of the equation. 11 + -11 + -10k = -90 + -11 Combine like terms: 11 + -11 = 0 0 + -10k = -90 + -11 -10k = -90 + -11 Combine like terms: -90 + -11 = -101 -10k = -101 Divide each side by '-10'. k = 10.1 Simplifying k = 10.1
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