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Simplifying 3 + 7k = -1(2k + 1) Reorder the terms: 3 + 7k = -1(1 + 2k) 3 + 7k = (1 * -1 + 2k * -1) 3 + 7k = (-1 + -2k) Solving 3 + 7k = -1 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 3 + 7k + 2k = -1 + -2k + 2k Combine like terms: 7k + 2k = 9k 3 + 9k = -1 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + 9k = -1 + 0 3 + 9k = -1 Add '-3' to each side of the equation. 3 + -3 + 9k = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 9k = -1 + -3 9k = -1 + -3 Combine like terms: -1 + -3 = -4 9k = -4 Divide each side by '9'. k = -0.4444444444 Simplifying k = -0.4444444444
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