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Simplifying 6(8k + 2) = -36 Reorder the terms: 6(2 + 8k) = -36 (2 * 6 + 8k * 6) = -36 (12 + 48k) = -36 Solving 12 + 48k = -36 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 + 48k = -36 + -12 Combine like terms: 12 + -12 = 0 0 + 48k = -36 + -12 48k = -36 + -12 Combine like terms: -36 + -12 = -48 48k = -48 Divide each side by '48'. k = -1 Simplifying k = -1
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