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Simplifying 2n + -8n + 6 = -3n + -2n + 2 Reorder the terms: 6 + 2n + -8n = -3n + -2n + 2 Combine like terms: 2n + -8n = -6n 6 + -6n = -3n + -2n + 2 Reorder the terms: 6 + -6n = 2 + -3n + -2n Combine like terms: -3n + -2n = -5n 6 + -6n = 2 + -5n Solving 6 + -6n = 2 + -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. 6 + -6n + 5n = 2 + -5n + 5n Combine like terms: -6n + 5n = -1n 6 + -1n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + -1n = 2 + 0 6 + -1n = 2 Add '-6' to each side of the equation. 6 + -6 + -1n = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 2 + -6 -1n = 2 + -6 Combine like terms: 2 + -6 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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