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Simplifying 7n + 12 = 5n + 16 Reorder the terms: 12 + 7n = 5n + 16 Reorder the terms: 12 + 7n = 16 + 5n Solving 12 + 7n = 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. 12 + 7n + -5n = 16 + 5n + -5n Combine like terms: 7n + -5n = 2n 12 + 2n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 2n = 16 + 0 12 + 2n = 16 Add '-12' to each side of the equation. 12 + -12 + 2n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 16 + -12 2n = 16 + -12 Combine like terms: 16 + -12 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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