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Simplifying 2(k + 1) + 5 = 3k + 3 Reorder the terms: 2(1 + k) + 5 = 3k + 3 (1 * 2 + k * 2) + 5 = 3k + 3 (2 + 2k) + 5 = 3k + 3 Reorder the terms: 2 + 5 + 2k = 3k + 3 Combine like terms: 2 + 5 = 7 7 + 2k = 3k + 3 Reorder the terms: 7 + 2k = 3 + 3k Solving 7 + 2k = 3 + 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. 7 + 2k + -3k = 3 + 3k + -3k Combine like terms: 2k + -3k = -1k 7 + -1k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 7 + -1k = 3 + 0 7 + -1k = 3 Add '-7' to each side of the equation. 7 + -7 + -1k = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 3 + -7 -1k = 3 + -7 Combine like terms: 3 + -7 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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