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Simplifying 2(4 + -5k) = 38 (4 * 2 + -5k * 2) = 38 (8 + -10k) = 38 Solving 8 + -10k = 38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -10k = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -10k = 38 + -8 -10k = 38 + -8 Combine like terms: 38 + -8 = 30 -10k = 30 Divide each side by '-10'. k = -3 Simplifying k = -3
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