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Simplifying -6(2k + 8) + -1(3 + -8k) = -27 Reorder the terms: -6(8 + 2k) + -1(3 + -8k) = -27 (8 * -6 + 2k * -6) + -1(3 + -8k) = -27 (-48 + -12k) + -1(3 + -8k) = -27 -48 + -12k + (3 * -1 + -8k * -1) = -27 -48 + -12k + (-3 + 8k) = -27 Reorder the terms: -48 + -3 + -12k + 8k = -27 Combine like terms: -48 + -3 = -51 -51 + -12k + 8k = -27 Combine like terms: -12k + 8k = -4k -51 + -4k = -27 Solving -51 + -4k = -27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -4k = -27 + 51 Combine like terms: -51 + 51 = 0 0 + -4k = -27 + 51 -4k = -27 + 51 Combine like terms: -27 + 51 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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