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Simplifying 3 + 5n = 4[n + 2] + 6n Reorder the terms: 3 + 5n = 4[2 + n] + 6n 3 + 5n = [2 * 4 + n * 4] + 6n 3 + 5n = [8 + 4n] + 6n Combine like terms: 4n + 6n = 10n 3 + 5n = 8 + 10n Solving 3 + 5n = 8 + 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. 3 + 5n + -10n = 8 + 10n + -10n Combine like terms: 5n + -10n = -5n 3 + -5n = 8 + 10n + -10n Combine like terms: 10n + -10n = 0 3 + -5n = 8 + 0 3 + -5n = 8 Add '-3' to each side of the equation. 3 + -3 + -5n = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -5n = 8 + -3 -5n = 8 + -3 Combine like terms: 8 + -3 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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