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Simplifying -7(k + -8) + 2 = 0 Reorder the terms: -7(-8 + k) + 2 = 0 (-8 * -7 + k * -7) + 2 = 0 (56 + -7k) + 2 = 0 Reorder the terms: 56 + 2 + -7k = 0 Combine like terms: 56 + 2 = 58 58 + -7k = 0 Solving 58 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -7k = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -7k = 0 + -58 -7k = 0 + -58 Combine like terms: 0 + -58 = -58 -7k = -58 Divide each side by '-7'. k = 8.285714286 Simplifying k = 8.285714286
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