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Simplifying 4(n + 3) = 8 + -4(n + -5) Reorder the terms: 4(3 + n) = 8 + -4(n + -5) (3 * 4 + n * 4) = 8 + -4(n + -5) (12 + 4n) = 8 + -4(n + -5) Reorder the terms: 12 + 4n = 8 + -4(-5 + n) 12 + 4n = 8 + (-5 * -4 + n * -4) 12 + 4n = 8 + (20 + -4n) Combine like terms: 8 + 20 = 28 12 + 4n = 28 + -4n Solving 12 + 4n = 28 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + 4n + 4n = 28 + -4n + 4n Combine like terms: 4n + 4n = 8n 12 + 8n = 28 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 8n = 28 + 0 12 + 8n = 28 Add '-12' to each side of the equation. 12 + -12 + 8n = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = 28 + -12 8n = 28 + -12 Combine like terms: 28 + -12 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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