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Simplifying 32(k + 25) = 213 Reorder the terms: 32(25 + k) = 213 (25 * 32 + k * 32) = 213 (800 + 32k) = 213 Solving 800 + 32k = 213 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 = 213 + -800 Combine like terms: 800 + -800 = 0 0 + 32k = 213 + -800 32k = 213 + -800 Combine like terms: 213 + -800 = -587 32k = -587 Divide each side by '32'. k = -18.34375 Simplifying k = -18.34375
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