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Simplifying 1n + 3 = 4n + -12 Reorder the terms: 3 + 1n = 4n + -12 Reorder the terms: 3 + 1n = -12 + 4n Solving 3 + 1n = -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. 3 + 1n + -4n = -12 + 4n + -4n Combine like terms: 1n + -4n = -3n 3 + -3n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -3n = -12 + 0 3 + -3n = -12 Add '-3' to each side of the equation. 3 + -3 + -3n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -12 + -3 -3n = -12 + -3 Combine like terms: -12 + -3 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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