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Simplifying -7(k + -8) + -1(4 + 7k) = 0 Reorder the terms: -7(-8 + k) + -1(4 + 7k) = 0 (-8 * -7 + k * -7) + -1(4 + 7k) = 0 (56 + -7k) + -1(4 + 7k) = 0 56 + -7k + (4 * -1 + 7k * -1) = 0 56 + -7k + (-4 + -7k) = 0 Reorder the terms: 56 + -4 + -7k + -7k = 0 Combine like terms: 56 + -4 = 52 52 + -7k + -7k = 0 Combine like terms: -7k + -7k = -14k 52 + -14k = 0 Solving 52 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -14k = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -14k = 0 + -52 -14k = 0 + -52 Combine like terms: 0 + -52 = -52 -14k = -52 Divide each side by '-14'. k = 3.714285714 Simplifying k = 3.714285714
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