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Simplifying 10(k + 2) = -42 Reorder the terms: 10(2 + k) = -42 (2 * 10 + k * 10) = -42 (20 + 10k) = -42 Solving 20 + 10k = -42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10k = -42 + -20 Combine like terms: 20 + -20 = 0 0 + 10k = -42 + -20 10k = -42 + -20 Combine like terms: -42 + -20 = -62 10k = -62 Divide each side by '10'. k = -6.2 Simplifying k = -6.2
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