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Simplifying 10(10.5 + k) = -14 (10.5 * 10 + k * 10) = -14 (105 + 10k) = -14 Solving 105 + 10k = -14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 10k = -14 + -105 Combine like terms: 105 + -105 = 0 0 + 10k = -14 + -105 10k = -14 + -105 Combine like terms: -14 + -105 = -119 10k = -119 Divide each side by '10'. k = -11.9 Simplifying k = -11.9
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