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Simplifying -8 + 7k = -8(1 + -5k) -8 + 7k = (1 * -8 + -5k * -8) -8 + 7k = (-8 + 40k) Add '8' to each side of the equation. -8 + 8 + 7k = -8 + 8 + 40k Combine like terms: -8 + 8 = 0 0 + 7k = -8 + 8 + 40k 7k = -8 + 8 + 40k Combine like terms: -8 + 8 = 0 7k = 0 + 40k 7k = 40k Solving 7k = 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. 7k + -40k = 40k + -40k Combine like terms: 7k + -40k = -33k -33k = 40k + -40k Combine like terms: 40k + -40k = 0 -33k = 0 Divide each side by '-33'. k = 0 Simplifying k = 0
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