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Simplifying 6n + 6 = -8(n + 8) Reorder the terms: 6 + 6n = -8(n + 8) Reorder the terms: 6 + 6n = -8(8 + n) 6 + 6n = (8 * -8 + n * -8) 6 + 6n = (-64 + -8n) Solving 6 + 6n = -64 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 6 + 6n + 8n = -64 + -8n + 8n Combine like terms: 6n + 8n = 14n 6 + 14n = -64 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + 14n = -64 + 0 6 + 14n = -64 Add '-6' to each side of the equation. 6 + -6 + 14n = -64 + -6 Combine like terms: 6 + -6 = 0 0 + 14n = -64 + -6 14n = -64 + -6 Combine like terms: -64 + -6 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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