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Simplifying -7(k + 9) + -1(-8k + -6) = 9 Reorder the terms: -7(9 + k) + -1(-8k + -6) = 9 (9 * -7 + k * -7) + -1(-8k + -6) = 9 (-63 + -7k) + -1(-8k + -6) = 9 Reorder the terms: -63 + -7k + -1(-6 + -8k) = 9 -63 + -7k + (-6 * -1 + -8k * -1) = 9 -63 + -7k + (6 + 8k) = 9 Reorder the terms: -63 + 6 + -7k + 8k = 9 Combine like terms: -63 + 6 = -57 -57 + -7k + 8k = 9 Combine like terms: -7k + 8k = 1k -57 + 1k = 9 Solving -57 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 1k = 9 + 57 Combine like terms: -57 + 57 = 0 0 + 1k = 9 + 57 1k = 9 + 57 Combine like terms: 9 + 57 = 66 1k = 66 Divide each side by '1'. k = 66 Simplifying k = 66
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