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Simplifying 6n + -5 + 3n + 3 = 7 + 2n + 5 Reorder the terms: -5 + 3 + 6n + 3n = 7 + 2n + 5 Combine like terms: -5 + 3 = -2 -2 + 6n + 3n = 7 + 2n + 5 Combine like terms: 6n + 3n = 9n -2 + 9n = 7 + 2n + 5 Reorder the terms: -2 + 9n = 7 + 5 + 2n Combine like terms: 7 + 5 = 12 -2 + 9n = 12 + 2n Solving -2 + 9n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -2 + 9n + -2n = 12 + 2n + -2n Combine like terms: 9n + -2n = 7n -2 + 7n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + 7n = 12 + 0 -2 + 7n = 12 Add '2' to each side of the equation. -2 + 2 + 7n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = 12 + 2 7n = 12 + 2 Combine like terms: 12 + 2 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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