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Simplifying -315 = 5(-8k + 1) Reorder the terms: -315 = 5(1 + -8k) -315 = (1 * 5 + -8k * 5) -315 = (5 + -40k) Solving -315 = 5 + -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. -315 + 40k = 5 + -40k + 40k Combine like terms: -40k + 40k = 0 -315 + 40k = 5 + 0 -315 + 40k = 5 Add '315' to each side of the equation. -315 + 315 + 40k = 5 + 315 Combine like terms: -315 + 315 = 0 0 + 40k = 5 + 315 40k = 5 + 315 Combine like terms: 5 + 315 = 320 40k = 320 Divide each side by '40'. k = 8 Simplifying k = 8
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