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Simplifying -3k + 8(1 + -6k) = -400 -3k + (1 * 8 + -6k * 8) = -400 -3k + (8 + -48k) = -400 Reorder the terms: 8 + -3k + -48k = -400 Combine like terms: -3k + -48k = -51k 8 + -51k = -400 Solving 8 + -51k = -400 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -51k = -400 + -8 Combine like terms: 8 + -8 = 0 0 + -51k = -400 + -8 -51k = -400 + -8 Combine like terms: -400 + -8 = -408 -51k = -408 Divide each side by '-51'. k = 8 Simplifying k = 8
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