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Simplifying 7 + 3n + -5 = 9n + 16 + -4n Reorder the terms: 7 + -5 + 3n = 9n + 16 + -4n Combine like terms: 7 + -5 = 2 2 + 3n = 9n + 16 + -4n Reorder the terms: 2 + 3n = 16 + 9n + -4n Combine like terms: 9n + -4n = 5n 2 + 3n = 16 + 5n Solving 2 + 3n = 16 + 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. 2 + 3n + -5n = 16 + 5n + -5n Combine like terms: 3n + -5n = -2n 2 + -2n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -2n = 16 + 0 2 + -2n = 16 Add '-2' to each side of the equation. 2 + -2 + -2n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 16 + -2 -2n = 16 + -2 Combine like terms: 16 + -2 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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