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Simplifying -6(k + 2) + -4k = -92 Reorder the terms: -6(2 + k) + -4k = -92 (2 * -6 + k * -6) + -4k = -92 (-12 + -6k) + -4k = -92 Combine like terms: -6k + -4k = -10k -12 + -10k = -92 Solving -12 + -10k = -92 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -10k = -92 + 12 Combine like terms: -12 + 12 = 0 0 + -10k = -92 + 12 -10k = -92 + 12 Combine like terms: -92 + 12 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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