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Simplifying 6n + 2(n + -8) = 3n + -6 Reorder the terms: 6n + 2(-8 + n) = 3n + -6 6n + (-8 * 2 + n * 2) = 3n + -6 6n + (-16 + 2n) = 3n + -6 Reorder the terms: -16 + 6n + 2n = 3n + -6 Combine like terms: 6n + 2n = 8n -16 + 8n = 3n + -6 Reorder the terms: -16 + 8n = -6 + 3n Solving -16 + 8n = -6 + 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. -16 + 8n + -3n = -6 + 3n + -3n Combine like terms: 8n + -3n = 5n -16 + 5n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 5n = -6 + 0 -16 + 5n = -6 Add '16' to each side of the equation. -16 + 16 + 5n = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 5n = -6 + 16 5n = -6 + 16 Combine like terms: -6 + 16 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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