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Simplifying 5 + 3n + 1 + -3 = 8 + 2n Reorder the terms: 5 + 1 + -3 + 3n = 8 + 2n Combine like terms: 5 + 1 = 6 6 + -3 + 3n = 8 + 2n Combine like terms: 6 + -3 = 3 3 + 3n = 8 + 2n Solving 3 + 3n = 8 + 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. 3 + 3n + -2n = 8 + 2n + -2n Combine like terms: 3n + -2n = 1n 3 + 1n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 1n = 8 + 0 3 + 1n = 8 Add '-3' to each side of the equation. 3 + -3 + 1n = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1n = 8 + -3 1n = 8 + -3 Combine like terms: 8 + -3 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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