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Simplifying 12n + 3 + -4n + 8 + -3n + -5 = 2n + 3 + 5n + -12 + n Reorder the terms: 3 + 8 + -5 + 12n + -4n + -3n = 2n + 3 + 5n + -12 + n Combine like terms: 3 + 8 = 11 11 + -5 + 12n + -4n + -3n = 2n + 3 + 5n + -12 + n Combine like terms: 11 + -5 = 6 6 + 12n + -4n + -3n = 2n + 3 + 5n + -12 + n Combine like terms: 12n + -4n = 8n 6 + 8n + -3n = 2n + 3 + 5n + -12 + n Combine like terms: 8n + -3n = 5n 6 + 5n = 2n + 3 + 5n + -12 + n Reorder the terms: 6 + 5n = 3 + -12 + 2n + 5n + n Combine like terms: 3 + -12 = -9 6 + 5n = -9 + 2n + 5n + n Combine like terms: 2n + 5n = 7n 6 + 5n = -9 + 7n + n Combine like terms: 7n + n = 8n 6 + 5n = -9 + 8n Solving 6 + 5n = -9 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 6 + 5n + -8n = -9 + 8n + -8n Combine like terms: 5n + -8n = -3n 6 + -3n = -9 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + -3n = -9 + 0 6 + -3n = -9 Add '-6' to each side of the equation. 6 + -6 + -3n = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = -9 + -6 -3n = -9 + -6 Combine like terms: -9 + -6 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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