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