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Simplifying 7n + 16 = 5n + 2 Reorder the terms: 16 + 7n = 5n + 2 Reorder the terms: 16 + 7n = 2 + 5n Solving 16 + 7n = 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 + 7n + -5n = 2 + 5n + -5n Combine like terms: 7n + -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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