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Simplifying -92 = 4(3k + -2) Reorder the terms: -92 = 4(-2 + 3k) -92 = (-2 * 4 + 3k * 4) -92 = (-8 + 12k) Solving -92 = -8 + 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 = -8 + 12k + -12k Combine like terms: 12k + -12k = 0 -92 + -12k = -8 + 0 -92 + -12k = -8 Add '92' to each side of the equation. -92 + 92 + -12k = -8 + 92 Combine like terms: -92 + 92 = 0 0 + -12k = -8 + 92 -12k = -8 + 92 Combine like terms: -8 + 92 = 84 -12k = 84 Divide each side by '-12'. k = -7 Simplifying k = -7
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