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Simplifying 9n + -7 = 5n + 13 Reorder the terms: -7 + 9n = 5n + 13 Reorder the terms: -7 + 9n = 13 + 5n Solving -7 + 9n = 13 + 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. -7 + 9n + -5n = 13 + 5n + -5n Combine like terms: 9n + -5n = 4n -7 + 4n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 -7 + 4n = 13 + 0 -7 + 4n = 13 Add '7' to each side of the equation. -7 + 7 + 4n = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 13 + 7 4n = 13 + 7 Combine like terms: 13 + 7 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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