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Simplifying -7n + 6 = -3[3n + 10] Reorder the terms: 6 + -7n = -3[3n + 10] Reorder the terms: 6 + -7n = -3[10 + 3n] 6 + -7n = [10 * -3 + 3n * -3] 6 + -7n = [-30 + -9n] Solving 6 + -7n = -30 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 6 + -7n + 9n = -30 + -9n + 9n Combine like terms: -7n + 9n = 2n 6 + 2n = -30 + -9n + 9n Combine like terms: -9n + 9n = 0 6 + 2n = -30 + 0 6 + 2n = -30 Add '-6' to each side of the equation. 6 + -6 + 2n = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = -30 + -6 2n = -30 + -6 Combine like terms: -30 + -6 = -36 2n = -36 Divide each side by '2'. n = -18 Simplifying n = -18
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