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Simplifying -168 = -8(1 + 5k) -168 = (1 * -8 + 5k * -8) -168 = (-8 + -40k) Solving -168 = -8 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -168 + 40k = -8 + -40k + 40k Combine like terms: -40k + 40k = 0 -168 + 40k = -8 + 0 -168 + 40k = -8 Add '168' to each side of the equation. -168 + 168 + 40k = -8 + 168 Combine like terms: -168 + 168 = 0 0 + 40k = -8 + 168 40k = -8 + 168 Combine like terms: -8 + 168 = 160 40k = 160 Divide each side by '40'. k = 4 Simplifying k = 4
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