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