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Simplifying 4n + 14 + -2n = 12 + -3(2n + 2) Reorder the terms: 14 + 4n + -2n = 12 + -3(2n + 2) Combine like terms: 4n + -2n = 2n 14 + 2n = 12 + -3(2n + 2) Reorder the terms: 14 + 2n = 12 + -3(2 + 2n) 14 + 2n = 12 + (2 * -3 + 2n * -3) 14 + 2n = 12 + (-6 + -6n) Combine like terms: 12 + -6 = 6 14 + 2n = 6 + -6n Solving 14 + 2n = 6 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 14 + 2n + 6n = 6 + -6n + 6n Combine like terms: 2n + 6n = 8n 14 + 8n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 14 + 8n = 6 + 0 14 + 8n = 6 Add '-14' to each side of the equation. 14 + -14 + 8n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 8n = 6 + -14 8n = 6 + -14 Combine like terms: 6 + -14 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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