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Simplifying 0.6 + 2.7 + -0.5n = 5.9 + -0.1n Combine like terms: 0.6 + 2.7 = 3.3 3.3 + -0.5n = 5.9 + -0.1n Solving 3.3 + -0.5n = 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. 3.3 + -0.5n + 0.1n = 5.9 + -0.1n + 0.1n Combine like terms: -0.5n + 0.1n = -0.4n 3.3 + -0.4n = 5.9 + -0.1n + 0.1n Combine like terms: -0.1n + 0.1n = 0.0 3.3 + -0.4n = 5.9 + 0.0 3.3 + -0.4n = 5.9 Add '-3.3' to each side of the equation. 3.3 + -3.3 + -0.4n = 5.9 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + -0.4n = 5.9 + -3.3 -0.4n = 5.9 + -3.3 Combine like terms: 5.9 + -3.3 = 2.6 -0.4n = 2.6 Divide each side by '-0.4'. n = -6.5 Simplifying n = -6.5
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