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Simplifying 1.4n + 3.74 = 2.7 + -0.2n Reorder the terms: 3.74 + 1.4n = 2.7 + -0.2n Solving 3.74 + 1.4n = 2.7 + -0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2n' to each side of the equation. 3.74 + 1.4n + 0.2n = 2.7 + -0.2n + 0.2n Combine like terms: 1.4n + 0.2n = 1.6n 3.74 + 1.6n = 2.7 + -0.2n + 0.2n Combine like terms: -0.2n + 0.2n = 0.0 3.74 + 1.6n = 2.7 + 0.0 3.74 + 1.6n = 2.7 Add '-3.74' to each side of the equation. 3.74 + -3.74 + 1.6n = 2.7 + -3.74 Combine like terms: 3.74 + -3.74 = 0.00 0.00 + 1.6n = 2.7 + -3.74 1.6n = 2.7 + -3.74 Combine like terms: 2.7 + -3.74 = -1.04 1.6n = -1.04 Divide each side by '1.6'. n = -0.65 Simplifying n = -0.65
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