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Simplifying 3n + n + 13 = 5n + 5 Reorder the terms: 13 + 3n + n = 5n + 5 Combine like terms: 3n + n = 4n 13 + 4n = 5n + 5 Reorder the terms: 13 + 4n = 5 + 5n Solving 13 + 4n = 5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 13 + 4n + -5n = 5 + 5n + -5n Combine like terms: 4n + -5n = -1n 13 + -1n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + -1n = 5 + 0 13 + -1n = 5 Add '-13' to each side of the equation. 13 + -13 + -1n = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 5 + -13 -1n = 5 + -13 Combine like terms: 5 + -13 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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