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Simplifying 3n + 2n + 5 = 7n + 1 Reorder the terms: 5 + 3n + 2n = 7n + 1 Combine like terms: 3n + 2n = 5n 5 + 5n = 7n + 1 Reorder the terms: 5 + 5n = 1 + 7n Solving 5 + 5n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 5 + 5n + -7n = 1 + 7n + -7n Combine like terms: 5n + -7n = -2n 5 + -2n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -2n = 1 + 0 5 + -2n = 1 Add '-5' to each side of the equation. 5 + -5 + -2n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 1 + -5 -2n = 1 + -5 Combine like terms: 1 + -5 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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