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Simplifying 2n + 6 + -3n = 34 + -12n + 8 Reorder the terms: 6 + 2n + -3n = 34 + -12n + 8 Combine like terms: 2n + -3n = -1n 6 + -1n = 34 + -12n + 8 Reorder the terms: 6 + -1n = 34 + 8 + -12n Combine like terms: 34 + 8 = 42 6 + -1n = 42 + -12n Solving 6 + -1n = 42 + -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. 6 + -1n + 12n = 42 + -12n + 12n Combine like terms: -1n + 12n = 11n 6 + 11n = 42 + -12n + 12n Combine like terms: -12n + 12n = 0 6 + 11n = 42 + 0 6 + 11n = 42 Add '-6' to each side of the equation. 6 + -6 + 11n = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 11n = 42 + -6 11n = 42 + -6 Combine like terms: 42 + -6 = 36 11n = 36 Divide each side by '11'. n = 3.272727273 Simplifying n = 3.272727273
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