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Simplifying 4n + -8 = 12 + -1n Reorder the terms: -8 + 4n = 12 + -1n Solving -8 + 4n = 12 + -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. -8 + 4n + n = 12 + -1n + n Combine like terms: 4n + n = 5n -8 + 5n = 12 + -1n + n Combine like terms: -1n + n = 0 -8 + 5n = 12 + 0 -8 + 5n = 12 Add '8' to each side of the equation. -8 + 8 + 5n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = 12 + 8 5n = 12 + 8 Combine like terms: 12 + 8 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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