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Simplifying 92 = -4(5k + -3) Reorder the terms: 92 = -4(-3 + 5k) 92 = (-3 * -4 + 5k * -4) 92 = (12 + -20k) Solving 92 = 12 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 92 + 20k = 12 + -20k + 20k Combine like terms: -20k + 20k = 0 92 + 20k = 12 + 0 92 + 20k = 12 Add '-92' to each side of the equation. 92 + -92 + 20k = 12 + -92 Combine like terms: 92 + -92 = 0 0 + 20k = 12 + -92 20k = 12 + -92 Combine like terms: 12 + -92 = -80 20k = -80 Divide each side by '20'. k = -4 Simplifying k = -4
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