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Simplifying 5 + 2(2n + 1) = 2n + 7 Reorder the terms: 5 + 2(1 + 2n) = 2n + 7 5 + (1 * 2 + 2n * 2) = 2n + 7 5 + (2 + 4n) = 2n + 7 Combine like terms: 5 + 2 = 7 7 + 4n = 2n + 7 Reorder the terms: 7 + 4n = 7 + 2n Add '-7' to each side of the equation. 7 + -7 + 4n = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 0 + 4n = 7 + -7 + 2n 4n = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 4n = 0 + 2n 4n = 2n Solving 4n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4n + -2n = 2n + -2n Combine like terms: 4n + -2n = 2n 2n = 2n + -2n Combine like terms: 2n + -2n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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