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Simplifying 20k = (k + -12) * 32 Reorder the terms: 20k = (-12 + k) * 32 Reorder the terms for easier multiplication: 20k = 32(-12 + k) 20k = (-12 * 32 + k * 32) 20k = (-384 + 32k) Solving 20k = -384 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 20k + -32k = -384 + 32k + -32k Combine like terms: 20k + -32k = -12k -12k = -384 + 32k + -32k Combine like terms: 32k + -32k = 0 -12k = -384 + 0 -12k = -384 Divide each side by '-12'. k = 32 Simplifying k = 32
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