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Simplifying 5(k + 1) = 3k + 12 Reorder the terms: 5(1 + k) = 3k + 12 (1 * 5 + k * 5) = 3k + 12 (5 + 5k) = 3k + 12 Reorder the terms: 5 + 5k = 12 + 3k Solving 5 + 5k = 12 + 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. 5 + 5k + -3k = 12 + 3k + -3k Combine like terms: 5k + -3k = 2k 5 + 2k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 2k = 12 + 0 5 + 2k = 12 Add '-5' to each side of the equation. 5 + -5 + 2k = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 12 + -5 2k = 12 + -5 Combine like terms: 12 + -5 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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