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Simplifying 20.553 + 5.3n = 2.3(6.71 + 3n) 20.553 + 5.3n = (6.71 * 2.3 + 3n * 2.3) 20.553 + 5.3n = (15.433 + 6.9n) Solving 20.553 + 5.3n = 15.433 + 6.9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.9n' to each side of the equation. 20.553 + 5.3n + -6.9n = 15.433 + 6.9n + -6.9n Combine like terms: 5.3n + -6.9n = -1.6n 20.553 + -1.6n = 15.433 + 6.9n + -6.9n Combine like terms: 6.9n + -6.9n = 0.0 20.553 + -1.6n = 15.433 + 0.0 20.553 + -1.6n = 15.433 Add '-20.553' to each side of the equation. 20.553 + -20.553 + -1.6n = 15.433 + -20.553 Combine like terms: 20.553 + -20.553 = 0.000 0.000 + -1.6n = 15.433 + -20.553 -1.6n = 15.433 + -20.553 Combine like terms: 15.433 + -20.553 = -5.12 -1.6n = -5.12 Divide each side by '-1.6'. n = 3.2 Simplifying n = 3.2
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