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Simplifying 75 + -3n + 6n = 12 + 15n + -2 + 3n + 20 Combine like terms: -3n + 6n = 3n 75 + 3n = 12 + 15n + -2 + 3n + 20 Reorder the terms: 75 + 3n = 12 + -2 + 20 + 15n + 3n Combine like terms: 12 + -2 = 10 75 + 3n = 10 + 20 + 15n + 3n Combine like terms: 10 + 20 = 30 75 + 3n = 30 + 15n + 3n Combine like terms: 15n + 3n = 18n 75 + 3n = 30 + 18n Solving 75 + 3n = 30 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 75 + 3n + -18n = 30 + 18n + -18n Combine like terms: 3n + -18n = -15n 75 + -15n = 30 + 18n + -18n Combine like terms: 18n + -18n = 0 75 + -15n = 30 + 0 75 + -15n = 30 Add '-75' to each side of the equation. 75 + -75 + -15n = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -15n = 30 + -75 -15n = 30 + -75 Combine like terms: 30 + -75 = -45 -15n = -45 Divide each side by '-15'. n = 3 Simplifying n = 3
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