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Simplifying 195 = -5(1 + -8k) 195 = (1 * -5 + -8k * -5) 195 = (-5 + 40k) Solving 195 = -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. 195 + -40k = -5 + 40k + -40k Combine like terms: 40k + -40k = 0 195 + -40k = -5 + 0 195 + -40k = -5 Add '-195' to each side of the equation. 195 + -195 + -40k = -5 + -195 Combine like terms: 195 + -195 = 0 0 + -40k = -5 + -195 -40k = -5 + -195 Combine like terms: -5 + -195 = -200 -40k = -200 Divide each side by '-40'. k = 5 Simplifying k = 5
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