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Simplifying [(3n + 2) + -1n] * 5 = 0 Reorder the terms: [(2 + 3n) + -1n] * 5 = 0 Remove parenthesis around (2 + 3n) [2 + 3n + -1n] * 5 = 0 Combine like terms: 3n + -1n = 2n [2 + 2n] * 5 = 0 Reorder the terms for easier multiplication: 5[2 + 2n] = 0 [2 * 5 + 2n * 5] = 0 [10 + 10n] = 0 Solving 10 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10n = 0 + -10 10n = 0 + -10 Combine like terms: 0 + -10 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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