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Simplifying 4k + 1 = 2(5 + -3k) Reorder the terms: 1 + 4k = 2(5 + -3k) 1 + 4k = (5 * 2 + -3k * 2) 1 + 4k = (10 + -6k) Solving 1 + 4k = 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. 1 + 4k + 6k = 10 + -6k + 6k Combine like terms: 4k + 6k = 10k 1 + 10k = 10 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + 10k = 10 + 0 1 + 10k = 10 Add '-1' to each side of the equation. 1 + -1 + 10k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 10k = 10 + -1 10k = 10 + -1 Combine like terms: 10 + -1 = 9 10k = 9 Divide each side by '10'. k = 0.9 Simplifying k = 0.9
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