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Simplifying 2n + 7 + -8n = 34 + -12n + 15 Reorder the terms: 7 + 2n + -8n = 34 + -12n + 15 Combine like terms: 2n + -8n = -6n 7 + -6n = 34 + -12n + 15 Reorder the terms: 7 + -6n = 34 + 15 + -12n Combine like terms: 34 + 15 = 49 7 + -6n = 49 + -12n Solving 7 + -6n = 49 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 7 + -6n + 12n = 49 + -12n + 12n Combine like terms: -6n + 12n = 6n 7 + 6n = 49 + -12n + 12n Combine like terms: -12n + 12n = 0 7 + 6n = 49 + 0 7 + 6n = 49 Add '-7' to each side of the equation. 7 + -7 + 6n = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 49 + -7 6n = 49 + -7 Combine like terms: 49 + -7 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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