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