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Simplifying -8(k + 8) + -1(-9k + 9) = 4 Reorder the terms: -8(8 + k) + -1(-9k + 9) = 4 (8 * -8 + k * -8) + -1(-9k + 9) = 4 (-64 + -8k) + -1(-9k + 9) = 4 Reorder the terms: -64 + -8k + -1(9 + -9k) = 4 -64 + -8k + (9 * -1 + -9k * -1) = 4 -64 + -8k + (-9 + 9k) = 4 Reorder the terms: -64 + -9 + -8k + 9k = 4 Combine like terms: -64 + -9 = -73 -73 + -8k + 9k = 4 Combine like terms: -8k + 9k = 1k -73 + 1k = 4 Solving -73 + 1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 1k = 4 + 73 Combine like terms: -73 + 73 = 0 0 + 1k = 4 + 73 1k = 4 + 73 Combine like terms: 4 + 73 = 77 1k = 77 Divide each side by '1'. k = 77 Simplifying k = 77
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