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Simplifying -7(k + -8) + 2k = 0 Reorder the terms: -7(-8 + k) + 2k = 0 (-8 * -7 + k * -7) + 2k = 0 (56 + -7k) + 2k = 0 Combine like terms: -7k + 2k = -5k 56 + -5k = 0 Solving 56 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -5k = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -5k = 0 + -56 -5k = 0 + -56 Combine like terms: 0 + -56 = -56 -5k = -56 Divide each side by '-5'. k = 11.2 Simplifying k = 11.2
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