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Simplifying 30 + 3n = 5n + 7(3n + 1) Reorder the terms: 30 + 3n = 5n + 7(1 + 3n) 30 + 3n = 5n + (1 * 7 + 3n * 7) 30 + 3n = 5n + (7 + 21n) Reorder the terms: 30 + 3n = 7 + 5n + 21n Combine like terms: 5n + 21n = 26n 30 + 3n = 7 + 26n Solving 30 + 3n = 7 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. 30 + 3n + -26n = 7 + 26n + -26n Combine like terms: 3n + -26n = -23n 30 + -23n = 7 + 26n + -26n Combine like terms: 26n + -26n = 0 30 + -23n = 7 + 0 30 + -23n = 7 Add '-30' to each side of the equation. 30 + -30 + -23n = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -23n = 7 + -30 -23n = 7 + -30 Combine like terms: 7 + -30 = -23 -23n = -23 Divide each side by '-23'. n = 1 Simplifying n = 1
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