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Simplifying 2(10k + 1) = -9k + 31 Reorder the terms: 2(1 + 10k) = -9k + 31 (1 * 2 + 10k * 2) = -9k + 31 (2 + 20k) = -9k + 31 Reorder the terms: 2 + 20k = 31 + -9k Solving 2 + 20k = 31 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 2 + 20k + 9k = 31 + -9k + 9k Combine like terms: 20k + 9k = 29k 2 + 29k = 31 + -9k + 9k Combine like terms: -9k + 9k = 0 2 + 29k = 31 + 0 2 + 29k = 31 Add '-2' to each side of the equation. 2 + -2 + 29k = 31 + -2 Combine like terms: 2 + -2 = 0 0 + 29k = 31 + -2 29k = 31 + -2 Combine like terms: 31 + -2 = 29 29k = 29 Divide each side by '29'. k = 1 Simplifying k = 1
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