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Simplifying 2(4k + 1) = -1(-10 + 6k) Reorder the terms: 2(1 + 4k) = -1(-10 + 6k) (1 * 2 + 4k * 2) = -1(-10 + 6k) (2 + 8k) = -1(-10 + 6k) 2 + 8k = (-10 * -1 + 6k * -1) 2 + 8k = (10 + -6k) Solving 2 + 8k = 10 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 2 + 8k + 6k = 10 + -6k + 6k Combine like terms: 8k + 6k = 14k 2 + 14k = 10 + -6k + 6k Combine like terms: -6k + 6k = 0 2 + 14k = 10 + 0 2 + 14k = 10 Add '-2' to each side of the equation. 2 + -2 + 14k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 14k = 10 + -2 14k = 10 + -2 Combine like terms: 10 + -2 = 8 14k = 8 Divide each side by '14'. k = 0.5714285714 Simplifying k = 0.5714285714
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