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Simplifying 12 + -1[3k + (-1 + 7k)] = 0 Remove parenthesis around (-1 + 7k) 12 + -1[3k + -1 + 7k] = 0 Reorder the terms: 12 + -1[-1 + 3k + 7k] = 0 Combine like terms: 3k + 7k = 10k 12 + -1[-1 + 10k] = 0 12 + [-1 * -1 + 10k * -1] = 0 12 + [1 + -10k] = 0 Combine like terms: 12 + 1 = 13 13 + -10k = 0 Solving 13 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -10k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -10k = 0 + -13 -10k = 0 + -13 Combine like terms: 0 + -13 = -13 -10k = -13 Divide each side by '-10'. k = 1.3 Simplifying k = 1.3
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