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Simplifying -5(8k + 1) = 315 Reorder the terms: -5(1 + 8k) = 315 (1 * -5 + 8k * -5) = 315 (-5 + -40k) = 315 Solving -5 + -40k = 315 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -40k = 315 + 5 Combine like terms: -5 + 5 = 0 0 + -40k = 315 + 5 -40k = 315 + 5 Combine like terms: 315 + 5 = 320 -40k = 320 Divide each side by '-40'. k = -8 Simplifying k = -8
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