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Simplifying -2(n + 2) + -4 = 8 + 6n Reorder the terms: -2(2 + n) + -4 = 8 + 6n (2 * -2 + n * -2) + -4 = 8 + 6n (-4 + -2n) + -4 = 8 + 6n Reorder the terms: -4 + -4 + -2n = 8 + 6n Combine like terms: -4 + -4 = -8 -8 + -2n = 8 + 6n Solving -8 + -2n = 8 + 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. -8 + -2n + -6n = 8 + 6n + -6n Combine like terms: -2n + -6n = -8n -8 + -8n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + -8n = 8 + 0 -8 + -8n = 8 Add '8' to each side of the equation. -8 + 8 + -8n = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8n = 8 + 8 -8n = 8 + 8 Combine like terms: 8 + 8 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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