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Simplifying 5n + 5 = 6 + 3n + -1 + 2 Reorder the terms: 5 + 5n = 6 + 3n + -1 + 2 Reorder the terms: 5 + 5n = 6 + -1 + 2 + 3n Combine like terms: 6 + -1 = 5 5 + 5n = 5 + 2 + 3n Combine like terms: 5 + 2 = 7 5 + 5n = 7 + 3n Solving 5 + 5n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5 + 5n + -3n = 7 + 3n + -3n Combine like terms: 5n + -3n = 2n 5 + 2n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 2n = 7 + 0 5 + 2n = 7 Add '-5' to each side of the equation. 5 + -5 + 2n = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 7 + -5 2n = 7 + -5 Combine like terms: 7 + -5 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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