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Simplifying -6 + -6n = -6(n + -3) + -8n Reorder the terms: -6 + -6n = -6(-3 + n) + -8n -6 + -6n = (-3 * -6 + n * -6) + -8n -6 + -6n = (18 + -6n) + -8n Combine like terms: -6n + -8n = -14n -6 + -6n = 18 + -14n Solving -6 + -6n = 18 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -6 + -6n + 14n = 18 + -14n + 14n Combine like terms: -6n + 14n = 8n -6 + 8n = 18 + -14n + 14n Combine like terms: -14n + 14n = 0 -6 + 8n = 18 + 0 -6 + 8n = 18 Add '6' to each side of the equation. -6 + 6 + 8n = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 8n = 18 + 6 8n = 18 + 6 Combine like terms: 18 + 6 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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