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Simplifying 3(n + 2) + (4 + -1n) = 5(2n + -4) + 6 Reorder the terms: 3(2 + n) + (4 + -1n) = 5(2n + -4) + 6 (2 * 3 + n * 3) + (4 + -1n) = 5(2n + -4) + 6 (6 + 3n) + (4 + -1n) = 5(2n + -4) + 6 Remove parenthesis around (4 + -1n) 6 + 3n + 4 + -1n = 5(2n + -4) + 6 Reorder the terms: 6 + 4 + 3n + -1n = 5(2n + -4) + 6 Combine like terms: 6 + 4 = 10 10 + 3n + -1n = 5(2n + -4) + 6 Combine like terms: 3n + -1n = 2n 10 + 2n = 5(2n + -4) + 6 Reorder the terms: 10 + 2n = 5(-4 + 2n) + 6 10 + 2n = (-4 * 5 + 2n * 5) + 6 10 + 2n = (-20 + 10n) + 6 Reorder the terms: 10 + 2n = -20 + 6 + 10n Combine like terms: -20 + 6 = -14 10 + 2n = -14 + 10n Solving 10 + 2n = -14 + 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. 10 + 2n + -10n = -14 + 10n + -10n Combine like terms: 2n + -10n = -8n 10 + -8n = -14 + 10n + -10n Combine like terms: 10n + -10n = 0 10 + -8n = -14 + 0 10 + -8n = -14 Add '-10' to each side of the equation. 10 + -10 + -8n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8n = -14 + -10 -8n = -14 + -10 Combine like terms: -14 + -10 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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