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