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Simplifying 4n + 8 = 1 + -3n Reorder the terms: 8 + 4n = 1 + -3n Solving 8 + 4n = 1 + -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. 8 + 4n + 3n = 1 + -3n + 3n Combine like terms: 4n + 3n = 7n 8 + 7n = 1 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 7n = 1 + 0 8 + 7n = 1 Add '-8' to each side of the equation. 8 + -8 + 7n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 1 + -8 7n = 1 + -8 Combine like terms: 1 + -8 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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