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Simplifying 5n + 7 + n = 3n + -2 + 4n + 4 Reorder the terms: 7 + 5n + n = 3n + -2 + 4n + 4 Combine like terms: 5n + n = 6n 7 + 6n = 3n + -2 + 4n + 4 Reorder the terms: 7 + 6n = -2 + 4 + 3n + 4n Combine like terms: -2 + 4 = 2 7 + 6n = 2 + 3n + 4n Combine like terms: 3n + 4n = 7n 7 + 6n = 2 + 7n Solving 7 + 6n = 2 + 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. 7 + 6n + -7n = 2 + 7n + -7n Combine like terms: 6n + -7n = -1n 7 + -1n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -1n = 2 + 0 7 + -1n = 2 Add '-7' to each side of the equation. 7 + -7 + -1n = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 2 + -7 -1n = 2 + -7 Combine like terms: 2 + -7 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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