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Simplifying -4.28 + 5.29n + 3.1n = 1 + -2.9n + 12.3n Combine like terms: 5.29n + 3.1n = 8.39n -4.28 + 8.39n = 1 + -2.9n + 12.3n Combine like terms: -2.9n + 12.3n = 9.4n -4.28 + 8.39n = 1 + 9.4n Solving -4.28 + 8.39n = 1 + 9.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9.4n' to each side of the equation. -4.28 + 8.39n + -9.4n = 1 + 9.4n + -9.4n Combine like terms: 8.39n + -9.4n = -1.01n -4.28 + -1.01n = 1 + 9.4n + -9.4n Combine like terms: 9.4n + -9.4n = 0.0 -4.28 + -1.01n = 1 + 0.0 -4.28 + -1.01n = 1 Add '4.28' to each side of the equation. -4.28 + 4.28 + -1.01n = 1 + 4.28 Combine like terms: -4.28 + 4.28 = 0.00 0.00 + -1.01n = 1 + 4.28 -1.01n = 1 + 4.28 Combine like terms: 1 + 4.28 = 5.28 -1.01n = 5.28 Divide each side by '-1.01'. n = -5.227722772 Simplifying n = -5.227722772
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