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Simplifying 1.6n + -5.95 = -11.7 + 3.9n + -3.7 + 0.4n Reorder the terms: -5.95 + 1.6n = -11.7 + 3.9n + -3.7 + 0.4n Reorder the terms: -5.95 + 1.6n = -11.7 + -3.7 + 3.9n + 0.4n Combine like terms: -11.7 + -3.7 = -15.4 -5.95 + 1.6n = -15.4 + 3.9n + 0.4n Combine like terms: 3.9n + 0.4n = 4.3n -5.95 + 1.6n = -15.4 + 4.3n Solving -5.95 + 1.6n = -15.4 + 4.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.3n' to each side of the equation. -5.95 + 1.6n + -4.3n = -15.4 + 4.3n + -4.3n Combine like terms: 1.6n + -4.3n = -2.7n -5.95 + -2.7n = -15.4 + 4.3n + -4.3n Combine like terms: 4.3n + -4.3n = 0.0 -5.95 + -2.7n = -15.4 + 0.0 -5.95 + -2.7n = -15.4 Add '5.95' to each side of the equation. -5.95 + 5.95 + -2.7n = -15.4 + 5.95 Combine like terms: -5.95 + 5.95 = 0.00 0.00 + -2.7n = -15.4 + 5.95 -2.7n = -15.4 + 5.95 Combine like terms: -15.4 + 5.95 = -9.45 -2.7n = -9.45 Divide each side by '-2.7'. n = 3.5 Simplifying n = 3.5
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