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Simplifying 1 + 3 = 5n + -12 + -1n Combine like terms: 1 + 3 = 4 4 = 5n + -12 + -1n Reorder the terms: 4 = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 4 = -12 + 4n Solving 4 = -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. 4 + -4n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + -4n = -12 + 0 4 + -4n = -12 Add '-4' to each side of the equation. 4 + -4 + -4n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -12 + -4 -4n = -12 + -4 Combine like terms: -12 + -4 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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