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Simplifying 0.3n + 2.67 = 1.742 + -1.3n Reorder the terms: 2.67 + 0.3n = 1.742 + -1.3n Solving 2.67 + 0.3n = 1.742 + -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. 2.67 + 0.3n + 1.3n = 1.742 + -1.3n + 1.3n Combine like terms: 0.3n + 1.3n = 1.6n 2.67 + 1.6n = 1.742 + -1.3n + 1.3n Combine like terms: -1.3n + 1.3n = 0.0 2.67 + 1.6n = 1.742 + 0.0 2.67 + 1.6n = 1.742 Add '-2.67' to each side of the equation. 2.67 + -2.67 + 1.6n = 1.742 + -2.67 Combine like terms: 2.67 + -2.67 = 0.00 0.00 + 1.6n = 1.742 + -2.67 1.6n = 1.742 + -2.67 Combine like terms: 1.742 + -2.67 = -0.928 1.6n = -0.928 Divide each side by '1.6'. n = -0.58 Simplifying n = -0.58
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