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Simplifying 5(k + 3) + -1k = 3k + 5 Reorder the terms: 5(3 + k) + -1k = 3k + 5 (3 * 5 + k * 5) + -1k = 3k + 5 (15 + 5k) + -1k = 3k + 5 Combine like terms: 5k + -1k = 4k 15 + 4k = 3k + 5 Reorder the terms: 15 + 4k = 5 + 3k Solving 15 + 4k = 5 + 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. 15 + 4k + -3k = 5 + 3k + -3k Combine like terms: 4k + -3k = 1k 15 + 1k = 5 + 3k + -3k Combine like terms: 3k + -3k = 0 15 + 1k = 5 + 0 15 + 1k = 5 Add '-15' to each side of the equation. 15 + -15 + 1k = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 1k = 5 + -15 1k = 5 + -15 Combine like terms: 5 + -15 = -10 1k = -10 Divide each side by '1'. k = -10 Simplifying k = -10
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