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Simplifying 5 + -7(k + -5) = 96 Reorder the terms: 5 + -7(-5 + k) = 96 5 + (-5 * -7 + k * -7) = 96 5 + (35 + -7k) = 96 Combine like terms: 5 + 35 = 40 40 + -7k = 96 Solving 40 + -7k = 96 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -7k = 96 + -40 Combine like terms: 40 + -40 = 0 0 + -7k = 96 + -40 -7k = 96 + -40 Combine like terms: 96 + -40 = 56 -7k = 56 Divide each side by '-7'. k = -8 Simplifying k = -8
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