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Simplifying 1 + 3n = 9 + -1n Solving 1 + 3n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + 3n + n = 9 + -1n + n Combine like terms: 3n + n = 4n 1 + 4n = 9 + -1n + n Combine like terms: -1n + n = 0 1 + 4n = 9 + 0 1 + 4n = 9 Add '-1' to each side of the equation. 1 + -1 + 4n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 9 + -1 4n = 9 + -1 Combine like terms: 9 + -1 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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