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Simplifying 7(k + 9) = 3(k + 5) Reorder the terms: 7(9 + k) = 3(k + 5) (9 * 7 + k * 7) = 3(k + 5) (63 + 7k) = 3(k + 5) Reorder the terms: 63 + 7k = 3(5 + k) 63 + 7k = (5 * 3 + k * 3) 63 + 7k = (15 + 3k) Solving 63 + 7k = 15 + 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. 63 + 7k + -3k = 15 + 3k + -3k Combine like terms: 7k + -3k = 4k 63 + 4k = 15 + 3k + -3k Combine like terms: 3k + -3k = 0 63 + 4k = 15 + 0 63 + 4k = 15 Add '-63' to each side of the equation. 63 + -63 + 4k = 15 + -63 Combine like terms: 63 + -63 = 0 0 + 4k = 15 + -63 4k = 15 + -63 Combine like terms: 15 + -63 = -48 4k = -48 Divide each side by '4'. k = -12 Simplifying k = -12
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