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Simplifying -8(k + -4) + -1(-9k + -8) = 0 Reorder the terms: -8(-4 + k) + -1(-9k + -8) = 0 (-4 * -8 + k * -8) + -1(-9k + -8) = 0 (32 + -8k) + -1(-9k + -8) = 0 Reorder the terms: 32 + -8k + -1(-8 + -9k) = 0 32 + -8k + (-8 * -1 + -9k * -1) = 0 32 + -8k + (8 + 9k) = 0 Reorder the terms: 32 + 8 + -8k + 9k = 0 Combine like terms: 32 + 8 = 40 40 + -8k + 9k = 0 Combine like terms: -8k + 9k = 1k 40 + 1k = 0 Solving 40 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1k = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 1k = 0 + -40 1k = 0 + -40 Combine like terms: 0 + -40 = -40 1k = -40 Divide each side by '1'. k = -40 Simplifying k = -40
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