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Simplifying 3n + -2 = 4n + 12 Reorder the terms: -2 + 3n = 4n + 12 Reorder the terms: -2 + 3n = 12 + 4n Solving -2 + 3n = 12 + 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 = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n -2 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + -1n = 12 + 0 -2 + -1n = 12 Add '2' to each side of the equation. -2 + 2 + -1n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 12 + 2 -1n = 12 + 2 Combine like terms: 12 + 2 = 14 -1n = 14 Divide each side by '-1'. n = -14 Simplifying n = -14
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