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Simplifying 2(4k + 1) = -1(-10 + 6k) + 9k Reorder the terms: 2(1 + 4k) = -1(-10 + 6k) + 9k (1 * 2 + 4k * 2) = -1(-10 + 6k) + 9k (2 + 8k) = -1(-10 + 6k) + 9k 2 + 8k = (-10 * -1 + 6k * -1) + 9k 2 + 8k = (10 + -6k) + 9k Combine like terms: -6k + 9k = 3k 2 + 8k = 10 + 3k Solving 2 + 8k = 10 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 2 + 8k + -3k = 10 + 3k + -3k Combine like terms: 8k + -3k = 5k 2 + 5k = 10 + 3k + -3k Combine like terms: 3k + -3k = 0 2 + 5k = 10 + 0 2 + 5k = 10 Add '-2' to each side of the equation. 2 + -2 + 5k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 5k = 10 + -2 5k = 10 + -2 Combine like terms: 10 + -2 = 8 5k = 8 Divide each side by '5'. k = 1.6 Simplifying k = 1.6
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