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Simplifying 0.3n + 4.7 = 3.852 + -1.3n Reorder the terms: 4.7 + 0.3n = 3.852 + -1.3n Solving 4.7 + 0.3n = 3.852 + -1.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.3n' to each side of the equation. 4.7 + 0.3n + 1.3n = 3.852 + -1.3n + 1.3n Combine like terms: 0.3n + 1.3n = 1.6n 4.7 + 1.6n = 3.852 + -1.3n + 1.3n Combine like terms: -1.3n + 1.3n = 0.0 4.7 + 1.6n = 3.852 + 0.0 4.7 + 1.6n = 3.852 Add '-4.7' to each side of the equation. 4.7 + -4.7 + 1.6n = 3.852 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + 1.6n = 3.852 + -4.7 1.6n = 3.852 + -4.7 Combine like terms: 3.852 + -4.7 = -0.848 1.6n = -0.848 Divide each side by '1.6'. n = -0.53 Simplifying n = -0.53
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