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Simplifying -5(k + -8) + 7(-5 + k) = -3 Reorder the terms: -5(-8 + k) + 7(-5 + k) = -3 (-8 * -5 + k * -5) + 7(-5 + k) = -3 (40 + -5k) + 7(-5 + k) = -3 40 + -5k + (-5 * 7 + k * 7) = -3 40 + -5k + (-35 + 7k) = -3 Reorder the terms: 40 + -35 + -5k + 7k = -3 Combine like terms: 40 + -35 = 5 5 + -5k + 7k = -3 Combine like terms: -5k + 7k = 2k 5 + 2k = -3 Solving 5 + 2k = -3 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 + 2k = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = -3 + -5 2k = -3 + -5 Combine like terms: -3 + -5 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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