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Simplifying 3(k + 1) + -9 = 9 Reorder the terms: 3(1 + k) + -9 = 9 (1 * 3 + k * 3) + -9 = 9 (3 + 3k) + -9 = 9 Reorder the terms: 3 + -9 + 3k = 9 Combine like terms: 3 + -9 = -6 -6 + 3k = 9 Solving -6 + 3k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3k = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3k = 9 + 6 3k = 9 + 6 Combine like terms: 9 + 6 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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