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Simplifying n + -5 = 7 + -3n Reorder the terms: -5 + n = 7 + -3n Solving -5 + n = 7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -5 + n + 3n = 7 + -3n + 3n Combine like terms: n + 3n = 4n -5 + 4n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + 4n = 7 + 0 -5 + 4n = 7 Add '5' to each side of the equation. -5 + 5 + 4n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 7 + 5 4n = 7 + 5 Combine like terms: 7 + 5 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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