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Simplifying 4(n + 2) = 8 + -8(n + -6) Reorder the terms: 4(2 + n) = 8 + -8(n + -6) (2 * 4 + n * 4) = 8 + -8(n + -6) (8 + 4n) = 8 + -8(n + -6) Reorder the terms: 8 + 4n = 8 + -8(-6 + n) 8 + 4n = 8 + (-6 * -8 + n * -8) 8 + 4n = 8 + (48 + -8n) Combine like terms: 8 + 48 = 56 8 + 4n = 56 + -8n Solving 8 + 4n = 56 + -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. 8 + 4n + 8n = 56 + -8n + 8n Combine like terms: 4n + 8n = 12n 8 + 12n = 56 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + 12n = 56 + 0 8 + 12n = 56 Add '-8' to each side of the equation. 8 + -8 + 12n = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 12n = 56 + -8 12n = 56 + -8 Combine like terms: 56 + -8 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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