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Simplifying 0.6n + 2.7 + -0.5n = 5.9 + -0.1n Reorder the terms: 2.7 + 0.6n + -0.5n = 5.9 + -0.1n Combine like terms: 0.6n + -0.5n = 0.1n 2.7 + 0.1n = 5.9 + -0.1n Solving 2.7 + 0.1n = 5.9 + -0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.1n' to each side of the equation. 2.7 + 0.1n + 0.1n = 5.9 + -0.1n + 0.1n Combine like terms: 0.1n + 0.1n = 0.2n 2.7 + 0.2n = 5.9 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 2.7 + 0.2n = 5.9 + 0.0 2.7 + 0.2n = 5.9 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.2n = 5.9 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.2n = 5.9 + -2.7 0.2n = 5.9 + -2.7 Combine like terms: 5.9 + -2.7 = 3.2 0.2n = 3.2 Divide each side by '0.2'. n = 16 Simplifying n = 16
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