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Simplifying 92 = -6(3k + 8) + -4 Reorder the terms: 92 = -6(8 + 3k) + -4 92 = (8 * -6 + 3k * -6) + -4 92 = (-48 + -18k) + -4 Reorder the terms: 92 = -48 + -4 + -18k Combine like terms: -48 + -4 = -52 92 = -52 + -18k Solving 92 = -52 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. 92 + 18k = -52 + -18k + 18k Combine like terms: -18k + 18k = 0 92 + 18k = -52 + 0 92 + 18k = -52 Add '-92' to each side of the equation. 92 + -92 + 18k = -52 + -92 Combine like terms: 92 + -92 = 0 0 + 18k = -52 + -92 18k = -52 + -92 Combine like terms: -52 + -92 = -144 18k = -144 Divide each side by '18'. k = -8 Simplifying k = -8
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