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