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Simplifying -5k + -5(1 + 7k) = 0 -5k + (1 * -5 + 7k * -5) = 0 -5k + (-5 + -35k) = 0 Reorder the terms: -5 + -5k + -35k = 0 Combine like terms: -5k + -35k = -40k -5 + -40k = 0 Solving -5 + -40k = 0 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 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -40k = 0 + 5 -40k = 0 + 5 Combine like terms: 0 + 5 = 5 -40k = 5 Divide each side by '-40'. k = -0.125 Simplifying k = -0.125
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