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Simplifying 3n + 1 = 5n + -7 Reorder the terms: 1 + 3n = 5n + -7 Reorder the terms: 1 + 3n = -7 + 5n Solving 1 + 3n = -7 + 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. 1 + 3n + -5n = -7 + 5n + -5n Combine like terms: 3n + -5n = -2n 1 + -2n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -2n = -7 + 0 1 + -2n = -7 Add '-1' to each side of the equation. 1 + -1 + -2n = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -7 + -1 -2n = -7 + -1 Combine like terms: -7 + -1 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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