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Simplifying 0.9n + -1.5 = 0.4n + 5 Reorder the terms: -1.5 + 0.9n = 0.4n + 5 Reorder the terms: -1.5 + 0.9n = 5 + 0.4n Solving -1.5 + 0.9n = 5 + 0.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.4n' to each side of the equation. -1.5 + 0.9n + -0.4n = 5 + 0.4n + -0.4n Combine like terms: 0.9n + -0.4n = 0.5n -1.5 + 0.5n = 5 + 0.4n + -0.4n Combine like terms: 0.4n + -0.4n = 0.0 -1.5 + 0.5n = 5 + 0.0 -1.5 + 0.5n = 5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5n = 5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5n = 5 + 1.5 0.5n = 5 + 1.5 Combine like terms: 5 + 1.5 = 6.5 0.5n = 6.5 Divide each side by '0.5'. n = 13 Simplifying n = 13
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