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Simplifying 5(n + 1) + 2 = 3(n + 1) + n Reorder the terms: 5(1 + n) + 2 = 3(n + 1) + n (1 * 5 + n * 5) + 2 = 3(n + 1) + n (5 + 5n) + 2 = 3(n + 1) + n Reorder the terms: 5 + 2 + 5n = 3(n + 1) + n Combine like terms: 5 + 2 = 7 7 + 5n = 3(n + 1) + n Reorder the terms: 7 + 5n = 3(1 + n) + n 7 + 5n = (1 * 3 + n * 3) + n 7 + 5n = (3 + 3n) + n Combine like terms: 3n + n = 4n 7 + 5n = 3 + 4n Solving 7 + 5n = 3 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 5n + -4n = 3 + 4n + -4n Combine like terms: 5n + -4n = 1n 7 + 1n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + 1n = 3 + 0 7 + 1n = 3 Add '-7' to each side of the equation. 7 + -7 + 1n = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 3 + -7 1n = 3 + -7 Combine like terms: 3 + -7 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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