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Simplifying -2(n + 8) = 6n + -32 Reorder the terms: -2(8 + n) = 6n + -32 (8 * -2 + n * -2) = 6n + -32 (-16 + -2n) = 6n + -32 Reorder the terms: -16 + -2n = -32 + 6n Solving -16 + -2n = -32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + -2n + -6n = -32 + 6n + -6n Combine like terms: -2n + -6n = -8n -16 + -8n = -32 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + -8n = -32 + 0 -16 + -8n = -32 Add '16' to each side of the equation. -16 + 16 + -8n = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -8n = -32 + 16 -8n = -32 + 16 Combine like terms: -32 + 16 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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