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Simplifying 7n + -13 = 3n + 7 Reorder the terms: -13 + 7n = 3n + 7 Reorder the terms: -13 + 7n = 7 + 3n Solving -13 + 7n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -13 + 7n + -3n = 7 + 3n + -3n Combine like terms: 7n + -3n = 4n -13 + 4n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -13 + 4n = 7 + 0 -13 + 4n = 7 Add '13' to each side of the equation. -13 + 13 + 4n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 4n = 7 + 13 4n = 7 + 13 Combine like terms: 7 + 13 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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