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Simplifying -27n + 6 + -2n + 17 = 37 + 3n + 3n Reorder the terms: 6 + 17 + -27n + -2n = 37 + 3n + 3n Combine like terms: 6 + 17 = 23 23 + -27n + -2n = 37 + 3n + 3n Combine like terms: -27n + -2n = -29n 23 + -29n = 37 + 3n + 3n Combine like terms: 3n + 3n = 6n 23 + -29n = 37 + 6n Solving 23 + -29n = 37 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 23 + -29n + -6n = 37 + 6n + -6n Combine like terms: -29n + -6n = -35n 23 + -35n = 37 + 6n + -6n Combine like terms: 6n + -6n = 0 23 + -35n = 37 + 0 23 + -35n = 37 Add '-23' to each side of the equation. 23 + -23 + -35n = 37 + -23 Combine like terms: 23 + -23 = 0 0 + -35n = 37 + -23 -35n = 37 + -23 Combine like terms: 37 + -23 = 14 -35n = 14 Divide each side by '-35'. n = -0.4 Simplifying n = -0.4
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