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Simplifying 12 + 7n + 3 + -1n = 3 + -3n + -6 Reorder the terms: 12 + 3 + 7n + -1n = 3 + -3n + -6 Combine like terms: 12 + 3 = 15 15 + 7n + -1n = 3 + -3n + -6 Combine like terms: 7n + -1n = 6n 15 + 6n = 3 + -3n + -6 Reorder the terms: 15 + 6n = 3 + -6 + -3n Combine like terms: 3 + -6 = -3 15 + 6n = -3 + -3n Solving 15 + 6n = -3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 15 + 6n + 3n = -3 + -3n + 3n Combine like terms: 6n + 3n = 9n 15 + 9n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 15 + 9n = -3 + 0 15 + 9n = -3 Add '-15' to each side of the equation. 15 + -15 + 9n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 9n = -3 + -15 9n = -3 + -15 Combine like terms: -3 + -15 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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