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Simplifying (3k + 7) = -1(6k + 3) Reorder the terms: (7 + 3k) = -1(6k + 3) Remove parenthesis around (7 + 3k) 7 + 3k = -1(6k + 3) Reorder the terms: 7 + 3k = -1(3 + 6k) 7 + 3k = (3 * -1 + 6k * -1) 7 + 3k = (-3 + -6k) Solving 7 + 3k = -3 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 7 + 3k + 6k = -3 + -6k + 6k Combine like terms: 3k + 6k = 9k 7 + 9k = -3 + -6k + 6k Combine like terms: -6k + 6k = 0 7 + 9k = -3 + 0 7 + 9k = -3 Add '-7' to each side of the equation. 7 + -7 + 9k = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 9k = -3 + -7 9k = -3 + -7 Combine like terms: -3 + -7 = -10 9k = -10 Divide each side by '9'. k = -1.111111111 Simplifying k = -1.111111111
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