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Simplifying 2(1 + -5k) = 2k + 38 (1 * 2 + -5k * 2) = 2k + 38 (2 + -10k) = 2k + 38 Reorder the terms: 2 + -10k = 38 + 2k Solving 2 + -10k = 38 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + -10k + -2k = 38 + 2k + -2k Combine like terms: -10k + -2k = -12k 2 + -12k = 38 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + -12k = 38 + 0 2 + -12k = 38 Add '-2' to each side of the equation. 2 + -2 + -12k = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -12k = 38 + -2 -12k = 38 + -2 Combine like terms: 38 + -2 = 36 -12k = 36 Divide each side by '-12'. k = -3 Simplifying k = -3
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