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Simplifying (-6k + 7) + -1(7k + 4) = 0 Reorder the terms: (7 + -6k) + -1(7k + 4) = 0 Remove parenthesis around (7 + -6k) 7 + -6k + -1(7k + 4) = 0 Reorder the terms: 7 + -6k + -1(4 + 7k) = 0 7 + -6k + (4 * -1 + 7k * -1) = 0 7 + -6k + (-4 + -7k) = 0 Reorder the terms: 7 + -4 + -6k + -7k = 0 Combine like terms: 7 + -4 = 3 3 + -6k + -7k = 0 Combine like terms: -6k + -7k = -13k 3 + -13k = 0 Solving 3 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -13k = 0 + -3 -13k = 0 + -3 Combine like terms: 0 + -3 = -3 -13k = -3 Divide each side by '-13'. k = 0.2307692308 Simplifying k = 0.2307692308
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