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Simplifying 9 = 7k + 2(-2k + 3) Reorder the terms: 9 = 7k + 2(3 + -2k) 9 = 7k + (3 * 2 + -2k * 2) 9 = 7k + (6 + -4k) Reorder the terms: 9 = 6 + 7k + -4k Combine like terms: 7k + -4k = 3k 9 = 6 + 3k Solving 9 = 6 + 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 = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 9 + -3k = 6 + 0 9 + -3k = 6 Add '-9' to each side of the equation. 9 + -9 + -3k = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3k = 6 + -9 -3k = 6 + -9 Combine like terms: 6 + -9 = -3 -3k = -3 Divide each side by '-3'. k = 1 Simplifying k = 1
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