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Simplifying 7(k + 9) + -1(6k + -3) = 5 Reorder the terms: 7(9 + k) + -1(6k + -3) = 5 (9 * 7 + k * 7) + -1(6k + -3) = 5 (63 + 7k) + -1(6k + -3) = 5 Reorder the terms: 63 + 7k + -1(-3 + 6k) = 5 63 + 7k + (-3 * -1 + 6k * -1) = 5 63 + 7k + (3 + -6k) = 5 Reorder the terms: 63 + 3 + 7k + -6k = 5 Combine like terms: 63 + 3 = 66 66 + 7k + -6k = 5 Combine like terms: 7k + -6k = 1k 66 + 1k = 5 Solving 66 + 1k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 1k = 5 + -66 Combine like terms: 66 + -66 = 0 0 + 1k = 5 + -66 1k = 5 + -66 Combine like terms: 5 + -66 = -61 1k = -61 Divide each side by '1'. k = -61 Simplifying k = -61
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