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Simplifying 4n + -2n + 8 = 3n + -1 Reorder the terms: 8 + 4n + -2n = 3n + -1 Combine like terms: 4n + -2n = 2n 8 + 2n = 3n + -1 Reorder the terms: 8 + 2n = -1 + 3n Solving 8 + 2n = -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 + 2n + -3n = -1 + 3n + -3n Combine like terms: 2n + -3n = -1n 8 + -1n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -1n = -1 + 0 8 + -1n = -1 Add '-8' to each side of the equation. 8 + -8 + -1n = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = -1 + -8 -1n = -1 + -8 Combine like terms: -1 + -8 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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