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Simplifying 4(2k + -9) = 0 Reorder the terms: 4(-9 + 2k) = 0 (-9 * 4 + 2k * 4) = 0 (-36 + 8k) = 0 Solving -36 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 8k = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 8k = 0 + 36 8k = 0 + 36 Combine like terms: 0 + 36 = 36 8k = 36 Divide each side by '8'. k = 4.5 Simplifying k = 4.5
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