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Simplifying 8(n + 6) + 4(n + -3) = 0 Reorder the terms: 8(6 + n) + 4(n + -3) = 0 (6 * 8 + n * 8) + 4(n + -3) = 0 (48 + 8n) + 4(n + -3) = 0 Reorder the terms: 48 + 8n + 4(-3 + n) = 0 48 + 8n + (-3 * 4 + n * 4) = 0 48 + 8n + (-12 + 4n) = 0 Reorder the terms: 48 + -12 + 8n + 4n = 0 Combine like terms: 48 + -12 = 36 36 + 8n + 4n = 0 Combine like terms: 8n + 4n = 12n 36 + 12n = 0 Solving 36 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 12n = 0 + -36 12n = 0 + -36 Combine like terms: 0 + -36 = -36 12n = -36 Divide each side by '12'. n = -3 Simplifying n = -3
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