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Simplifying 7(2n + -3) + -3n = 34 Reorder the terms: 7(-3 + 2n) + -3n = 34 (-3 * 7 + 2n * 7) + -3n = 34 (-21 + 14n) + -3n = 34 Combine like terms: 14n + -3n = 11n -21 + 11n = 34 Solving -21 + 11n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11n = 34 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = 34 + 21 11n = 34 + 21 Combine like terms: 34 + 21 = 55 11n = 55 Divide each side by '11'. n = 5 Simplifying n = 5
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