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Simplifying 5(n + 2) = 3.5(5 + 10n) Reorder the terms: 5(2 + n) = 3.5(5 + 10n) (2 * 5 + n * 5) = 3.5(5 + 10n) (10 + 5n) = 3.5(5 + 10n) 10 + 5n = (5 * 3.5 + 10n * 3.5) 10 + 5n = (17.5 + 35n) Solving 10 + 5n = 17.5 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 10 + 5n + -35n = 17.5 + 35n + -35n Combine like terms: 5n + -35n = -30n 10 + -30n = 17.5 + 35n + -35n Combine like terms: 35n + -35n = 0 10 + -30n = 17.5 + 0 10 + -30n = 17.5 Add '-10' to each side of the equation. 10 + -10 + -30n = 17.5 + -10 Combine like terms: 10 + -10 = 0 0 + -30n = 17.5 + -10 -30n = 17.5 + -10 Combine like terms: 17.5 + -10 = 7.5 -30n = 7.5 Divide each side by '-30'. n = -0.25 Simplifying n = -0.25
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