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Simplifying 38 + 4n = 45.5 + 2.5n Solving 38 + 4n = 45.5 + 2.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.5n' to each side of the equation. 38 + 4n + -2.5n = 45.5 + 2.5n + -2.5n Combine like terms: 4n + -2.5n = 1.5n 38 + 1.5n = 45.5 + 2.5n + -2.5n Combine like terms: 2.5n + -2.5n = 0.0 38 + 1.5n = 45.5 + 0.0 38 + 1.5n = 45.5 Add '-38' to each side of the equation. 38 + -38 + 1.5n = 45.5 + -38 Combine like terms: 38 + -38 = 0 0 + 1.5n = 45.5 + -38 1.5n = 45.5 + -38 Combine like terms: 45.5 + -38 = 7.5 1.5n = 7.5 Divide each side by '1.5'. n = 5 Simplifying n = 5
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