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