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Simplifying (7k + 3) + -1(4k + -1) = 0 Reorder the terms: (3 + 7k) + -1(4k + -1) = 0 Remove parenthesis around (3 + 7k) 3 + 7k + -1(4k + -1) = 0 Reorder the terms: 3 + 7k + -1(-1 + 4k) = 0 3 + 7k + (-1 * -1 + 4k * -1) = 0 3 + 7k + (1 + -4k) = 0 Reorder the terms: 3 + 1 + 7k + -4k = 0 Combine like terms: 3 + 1 = 4 4 + 7k + -4k = 0 Combine like terms: 7k + -4k = 3k 4 + 3k = 0 Solving 4 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 0 + -4 3k = 0 + -4 Combine like terms: 0 + -4 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333
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