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Simplifying 4(2k + -5) = 1 Reorder the terms: 4(-5 + 2k) = 1 (-5 * 4 + 2k * 4) = 1 (-20 + 8k) = 1 Solving -20 + 8k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 8k = 1 + 20 8k = 1 + 20 Combine like terms: 1 + 20 = 21 8k = 21 Divide each side by '8'. k = 2.625 Simplifying k = 2.625
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