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Simplifying 3n + 2 = 4n + -5 Reorder the terms: 2 + 3n = 4n + -5 Reorder the terms: 2 + 3n = -5 + 4n Solving 2 + 3n = -5 + 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. 2 + 3n + -4n = -5 + 4n + -4n Combine like terms: 3n + -4n = -1n 2 + -1n = -5 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -1n = -5 + 0 2 + -1n = -5 Add '-2' to each side of the equation. 2 + -2 + -1n = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = -5 + -2 -1n = -5 + -2 Combine like terms: -5 + -2 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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