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Simplifying 2(5k + 1) + -27 = 0 Reorder the terms: 2(1 + 5k) + -27 = 0 (1 * 2 + 5k * 2) + -27 = 0 (2 + 10k) + -27 = 0 Reorder the terms: 2 + -27 + 10k = 0 Combine like terms: 2 + -27 = -25 -25 + 10k = 0 Solving -25 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 10k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 10k = 0 + 25 10k = 0 + 25 Combine like terms: 0 + 25 = 25 10k = 25 Divide each side by '10'. k = 2.5 Simplifying k = 2.5
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