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Simplifying -8 + -7k = -8(1 + -8k) -8 + -7k = (1 * -8 + -8k * -8) -8 + -7k = (-8 + 64k) Add '8' to each side of the equation. -8 + 8 + -7k = -8 + 8 + 64k Combine like terms: -8 + 8 = 0 0 + -7k = -8 + 8 + 64k -7k = -8 + 8 + 64k Combine like terms: -8 + 8 = 0 -7k = 0 + 64k -7k = 64k Solving -7k = 64k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64k' to each side of the equation. -7k + -64k = 64k + -64k Combine like terms: -7k + -64k = -71k -71k = 64k + -64k Combine like terms: 64k + -64k = 0 -71k = 0 Divide each side by '-71'. k = 0 Simplifying k = 0
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