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Simplifying 4n + -3 + 6n + 2 = 7n + 8 Reorder the terms: -3 + 2 + 4n + 6n = 7n + 8 Combine like terms: -3 + 2 = -1 -1 + 4n + 6n = 7n + 8 Combine like terms: 4n + 6n = 10n -1 + 10n = 7n + 8 Reorder the terms: -1 + 10n = 8 + 7n Solving -1 + 10n = 8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -1 + 10n + -7n = 8 + 7n + -7n Combine like terms: 10n + -7n = 3n -1 + 3n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 -1 + 3n = 8 + 0 -1 + 3n = 8 Add '1' to each side of the equation. -1 + 1 + 3n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 8 + 1 3n = 8 + 1 Combine like terms: 8 + 1 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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