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Simplifying 3n + -4n + 1 = 5n + 2 + 3 Reorder the terms: 1 + 3n + -4n = 5n + 2 + 3 Combine like terms: 3n + -4n = -1n 1 + -1n = 5n + 2 + 3 Reorder the terms: 1 + -1n = 2 + 3 + 5n Combine like terms: 2 + 3 = 5 1 + -1n = 5 + 5n Solving 1 + -1n = 5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + -1n + -5n = 5 + 5n + -5n Combine like terms: -1n + -5n = -6n 1 + -6n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -6n = 5 + 0 1 + -6n = 5 Add '-1' to each side of the equation. 1 + -1 + -6n = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 5 + -1 -6n = 5 + -1 Combine like terms: 5 + -1 = 4 -6n = 4 Divide each side by '-6'. n = -0.6666666667 Simplifying n = -0.6666666667
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