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Simplifying 5n + 7 + 7 = 3n + -2 + 2(2n + 1) Reorder the terms: 7 + 7 + 5n = 3n + -2 + 2(2n + 1) Combine like terms: 7 + 7 = 14 14 + 5n = 3n + -2 + 2(2n + 1) Reorder the terms: 14 + 5n = 3n + -2 + 2(1 + 2n) 14 + 5n = 3n + -2 + (1 * 2 + 2n * 2) 14 + 5n = 3n + -2 + (2 + 4n) Reorder the terms: 14 + 5n = -2 + 2 + 3n + 4n Combine like terms: -2 + 2 = 0 14 + 5n = 0 + 3n + 4n 14 + 5n = 3n + 4n Combine like terms: 3n + 4n = 7n 14 + 5n = 7n Solving 14 + 5n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 14 + 5n + -7n = 7n + -7n Combine like terms: 5n + -7n = -2n 14 + -2n = 7n + -7n Combine like terms: 7n + -7n = 0 14 + -2n = 0 Add '-14' to each side of the equation. 14 + -14 + -2n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 0 + -14 -2n = 0 + -14 Combine like terms: 0 + -14 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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