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Simplifying -2.3n + -19.74 = 0.6n + 13.51 + 3.87 Reorder the terms: -19.74 + -2.3n = 0.6n + 13.51 + 3.87 Reorder the terms: -19.74 + -2.3n = 13.51 + 3.87 + 0.6n Combine like terms: 13.51 + 3.87 = 17.38 -19.74 + -2.3n = 17.38 + 0.6n Solving -19.74 + -2.3n = 17.38 + 0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6n' to each side of the equation. -19.74 + -2.3n + -0.6n = 17.38 + 0.6n + -0.6n Combine like terms: -2.3n + -0.6n = -2.9n -19.74 + -2.9n = 17.38 + 0.6n + -0.6n Combine like terms: 0.6n + -0.6n = 0.0 -19.74 + -2.9n = 17.38 + 0.0 -19.74 + -2.9n = 17.38 Add '19.74' to each side of the equation. -19.74 + 19.74 + -2.9n = 17.38 + 19.74 Combine like terms: -19.74 + 19.74 = 0.00 0.00 + -2.9n = 17.38 + 19.74 -2.9n = 17.38 + 19.74 Combine like terms: 17.38 + 19.74 = 37.12 -2.9n = 37.12 Divide each side by '-2.9'. n = -12.8 Simplifying n = -12.8
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