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