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Simplifying -7(k + 9) + -1(-8k + 4) = 7 Reorder the terms: -7(9 + k) + -1(-8k + 4) = 7 (9 * -7 + k * -7) + -1(-8k + 4) = 7 (-63 + -7k) + -1(-8k + 4) = 7 Reorder the terms: -63 + -7k + -1(4 + -8k) = 7 -63 + -7k + (4 * -1 + -8k * -1) = 7 -63 + -7k + (-4 + 8k) = 7 Reorder the terms: -63 + -4 + -7k + 8k = 7 Combine like terms: -63 + -4 = -67 -67 + -7k + 8k = 7 Combine like terms: -7k + 8k = 1k -67 + 1k = 7 Solving -67 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 1k = 7 + 67 Combine like terms: -67 + 67 = 0 0 + 1k = 7 + 67 1k = 7 + 67 Combine like terms: 7 + 67 = 74 1k = 74 Divide each side by '1'. k = 74 Simplifying k = 74
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