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Simplifying 32(k + 25) = 21 Reorder the terms: 32(25 + k) = 21 (25 * 32 + k * 32) = 21 (800 + 32k) = 21 Solving 800 + 32k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + 32k = 21 + -800 Combine like terms: 800 + -800 = 0 0 + 32k = 21 + -800 32k = 21 + -800 Combine like terms: 21 + -800 = -779 32k = -779 Divide each side by '32'. k = -24.34375 Simplifying k = -24.34375
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