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Simplifying 6(1 + -8k) + -4 = 386 (1 * 6 + -8k * 6) + -4 = 386 (6 + -48k) + -4 = 386 Reorder the terms: 6 + -4 + -48k = 386 Combine like terms: 6 + -4 = 2 2 + -48k = 386 Solving 2 + -48k = 386 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -48k = 386 + -2 Combine like terms: 2 + -2 = 0 0 + -48k = 386 + -2 -48k = 386 + -2 Combine like terms: 386 + -2 = 384 -48k = 384 Divide each side by '-48'. k = -8 Simplifying k = -8
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