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