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Simplifying 7(n + 1) = 3n + 15 Reorder the terms: 7(1 + n) = 3n + 15 (1 * 7 + n * 7) = 3n + 15 (7 + 7n) = 3n + 15 Reorder the terms: 7 + 7n = 15 + 3n Solving 7 + 7n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 7n + -3n = 15 + 3n + -3n Combine like terms: 7n + -3n = 4n 7 + 4n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 4n = 15 + 0 7 + 4n = 15 Add '-7' to each side of the equation. 7 + -7 + 4n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 15 + -7 4n = 15 + -7 Combine like terms: 15 + -7 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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