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Simplifying 0 = -8 + 7(k + -5) Reorder the terms: 0 = -8 + 7(-5 + k) 0 = -8 + (-5 * 7 + k * 7) 0 = -8 + (-35 + 7k) Combine like terms: -8 + -35 = -43 0 = -43 + 7k Solving 0 = -43 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 0 + -7k = -43 + 7k + -7k Remove the zero: -7k = -43 + 7k + -7k Combine like terms: 7k + -7k = 0 -7k = -43 + 0 -7k = -43 Divide each side by '-7'. k = 6.142857143 Simplifying k = 6.142857143
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