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Simplifying 7n + 8 + 12n + 4 = 27 + 2n Reorder the terms: 8 + 4 + 7n + 12n = 27 + 2n Combine like terms: 8 + 4 = 12 12 + 7n + 12n = 27 + 2n Combine like terms: 7n + 12n = 19n 12 + 19n = 27 + 2n Solving 12 + 19n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + 19n + -2n = 27 + 2n + -2n Combine like terms: 19n + -2n = 17n 12 + 17n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 17n = 27 + 0 12 + 17n = 27 Add '-12' to each side of the equation. 12 + -12 + 17n = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 17n = 27 + -12 17n = 27 + -12 Combine like terms: 27 + -12 = 15 17n = 15 Divide each side by '17'. n = 0.8823529412 Simplifying n = 0.8823529412
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