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Simplifying 4(n + 3) + 7n = 34 Reorder the terms: 4(3 + n) + 7n = 34 (3 * 4 + n * 4) + 7n = 34 (12 + 4n) + 7n = 34 Combine like terms: 4n + 7n = 11n 12 + 11n = 34 Solving 12 + 11n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11n = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11n = 34 + -12 11n = 34 + -12 Combine like terms: 34 + -12 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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