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Simplifying 6n + 2 + -2n + -3 = 5n + 8 + -3n + -3 Reorder the terms: 2 + -3 + 6n + -2n = 5n + 8 + -3n + -3 Combine like terms: 2 + -3 = -1 -1 + 6n + -2n = 5n + 8 + -3n + -3 Combine like terms: 6n + -2n = 4n -1 + 4n = 5n + 8 + -3n + -3 Reorder the terms: -1 + 4n = 8 + -3 + 5n + -3n Combine like terms: 8 + -3 = 5 -1 + 4n = 5 + 5n + -3n Combine like terms: 5n + -3n = 2n -1 + 4n = 5 + 2n Solving -1 + 4n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -1 + 4n + -2n = 5 + 2n + -2n Combine like terms: 4n + -2n = 2n -1 + 2n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -1 + 2n = 5 + 0 -1 + 2n = 5 Add '1' to each side of the equation. -1 + 1 + 2n = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 5 + 1 2n = 5 + 1 Combine like terms: 5 + 1 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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