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Simplifying 2(1 + -5k) = 52 (1 * 2 + -5k * 2) = 52 (2 + -10k) = 52 Solving 2 + -10k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10k = 52 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = 52 + -2 -10k = 52 + -2 Combine like terms: 52 + -2 = 50 -10k = 50 Divide each side by '-10'. k = -5 Simplifying k = -5
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