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Simplifying -7 = -7(1 + -7k) -7 = (1 * -7 + -7k * -7) -7 = (-7 + 49k) Add '7' to each side of the equation. -7 + 7 = -7 + 7 + 49k Combine like terms: -7 + 7 = 0 0 = -7 + 7 + 49k Combine like terms: -7 + 7 = 0 0 = 0 + 49k 0 = 49k Solving 0 = 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. 0 + -49k = 49k + -49k Remove the zero: -49k = 49k + -49k Combine like terms: 49k + -49k = 0 -49k = 0 Divide each side by '-49'. k = 0 Simplifying k = 0
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