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Simplifying 3n + 9 = 5n + -12 + -1n Reorder the terms: 9 + 3n = 5n + -12 + -1n Reorder the terms: 9 + 3n = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 9 + 3n = -12 + 4n Solving 9 + 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. 9 + 3n + -4n = -12 + 4n + -4n Combine like terms: 3n + -4n = -1n 9 + -1n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + -1n = -12 + 0 9 + -1n = -12 Add '-9' to each side of the equation. 9 + -9 + -1n = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = -12 + -9 -1n = -12 + -9 Combine like terms: -12 + -9 = -21 -1n = -21 Divide each side by '-1'. n = 21 Simplifying n = 21
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