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Simplifying 92 = -4(1 + 3k) 92 = (1 * -4 + 3k * -4) 92 = (-4 + -12k) Solving 92 = -4 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 92 + 12k = -4 + -12k + 12k Combine like terms: -12k + 12k = 0 92 + 12k = -4 + 0 92 + 12k = -4 Add '-92' to each side of the equation. 92 + -92 + 12k = -4 + -92 Combine like terms: 92 + -92 = 0 0 + 12k = -4 + -92 12k = -4 + -92 Combine like terms: -4 + -92 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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