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Simplifying 7.5 = 2.5(1 + 2n) 7.5 = (1 * 2.5 + 2n * 2.5) 7.5 = (2.5 + 5n) Solving 7.5 = 2.5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7.5 + -5n = 2.5 + 5n + -5n Combine like terms: 5n + -5n = 0 7.5 + -5n = 2.5 + 0 7.5 + -5n = 2.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -5n = 2.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -5n = 2.5 + -7.5 -5n = 2.5 + -7.5 Combine like terms: 2.5 + -7.5 = -5 -5n = -5 Divide each side by '-5'. n = 1 Simplifying n = 1
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