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Simplifying 2n + -7 + 7n = 3 + 2n + 4 Reorder the terms: -7 + 2n + 7n = 3 + 2n + 4 Combine like terms: 2n + 7n = 9n -7 + 9n = 3 + 2n + 4 Reorder the terms: -7 + 9n = 3 + 4 + 2n Combine like terms: 3 + 4 = 7 -7 + 9n = 7 + 2n Solving -7 + 9n = 7 + 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. -7 + 9n + -2n = 7 + 2n + -2n Combine like terms: 9n + -2n = 7n -7 + 7n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 7n = 7 + 0 -7 + 7n = 7 Add '7' to each side of the equation. -7 + 7 + 7n = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 7 + 7 7n = 7 + 7 Combine like terms: 7 + 7 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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