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Simplifying 2n + 7 + -7n = n + 3 + 2n + 12 Reorder the terms: 7 + 2n + -7n = n + 3 + 2n + 12 Combine like terms: 2n + -7n = -5n 7 + -5n = n + 3 + 2n + 12 Reorder the terms: 7 + -5n = 3 + 12 + n + 2n Combine like terms: 3 + 12 = 15 7 + -5n = 15 + n + 2n Combine like terms: n + 2n = 3n 7 + -5n = 15 + 3n Solving 7 + -5n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + -5n + -3n = 15 + 3n + -3n Combine like terms: -5n + -3n = -8n 7 + -8n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + -8n = 15 + 0 7 + -8n = 15 Add '-7' to each side of the equation. 7 + -7 + -8n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 15 + -7 -8n = 15 + -7 Combine like terms: 15 + -7 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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