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Simplifying -8(6k + -2) = 400 Reorder the terms: -8(-2 + 6k) = 400 (-2 * -8 + 6k * -8) = 400 (16 + -48k) = 400 Solving 16 + -48k = 400 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -48k = 400 + -16 Combine like terms: 16 + -16 = 0 0 + -48k = 400 + -16 -48k = 400 + -16 Combine like terms: 400 + -16 = 384 -48k = 384 Divide each side by '-48'. k = -8 Simplifying k = -8
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