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Simplifying 1 + 5n + 5 = 10 + 3n Reorder the terms: 1 + 5 + 5n = 10 + 3n Combine like terms: 1 + 5 = 6 6 + 5n = 10 + 3n Solving 6 + 5n = 10 + 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. 6 + 5n + -3n = 10 + 3n + -3n Combine like terms: 5n + -3n = 2n 6 + 2n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 2n = 10 + 0 6 + 2n = 10 Add '-6' to each side of the equation. 6 + -6 + 2n = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = 10 + -6 2n = 10 + -6 Combine like terms: 10 + -6 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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