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Simplifying 204 = -4(5 + -8k) 204 = (5 * -4 + -8k * -4) 204 = (-20 + 32k) Solving 204 = -20 + 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. 204 + -32k = -20 + 32k + -32k Combine like terms: 32k + -32k = 0 204 + -32k = -20 + 0 204 + -32k = -20 Add '-204' to each side of the equation. 204 + -204 + -32k = -20 + -204 Combine like terms: 204 + -204 = 0 0 + -32k = -20 + -204 -32k = -20 + -204 Combine like terms: -20 + -204 = -224 -32k = -224 Divide each side by '-32'. k = 7 Simplifying k = 7
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