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Simplifying 6n + -6 + -2 = 5n + -9 Reorder the terms: -6 + -2 + 6n = 5n + -9 Combine like terms: -6 + -2 = -8 -8 + 6n = 5n + -9 Reorder the terms: -8 + 6n = -9 + 5n Solving -8 + 6n = -9 + 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. -8 + 6n + -5n = -9 + 5n + -5n Combine like terms: 6n + -5n = 1n -8 + 1n = -9 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 1n = -9 + 0 -8 + 1n = -9 Add '8' to each side of the equation. -8 + 8 + 1n = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = -9 + 8 1n = -9 + 8 Combine like terms: -9 + 8 = -1 1n = -1 Divide each side by '1'. n = -1 Simplifying n = -1
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