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Simplifying 8n + 4n = 8(2n + 6) + -4(2 + 2n) Combine like terms: 8n + 4n = 12n 12n = 8(2n + 6) + -4(2 + 2n) Reorder the terms: 12n = 8(6 + 2n) + -4(2 + 2n) 12n = (6 * 8 + 2n * 8) + -4(2 + 2n) 12n = (48 + 16n) + -4(2 + 2n) 12n = 48 + 16n + (2 * -4 + 2n * -4) 12n = 48 + 16n + (-8 + -8n) Reorder the terms: 12n = 48 + -8 + 16n + -8n Combine like terms: 48 + -8 = 40 12n = 40 + 16n + -8n Combine like terms: 16n + -8n = 8n 12n = 40 + 8n Solving 12n = 40 + 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. 12n + -8n = 40 + 8n + -8n Combine like terms: 12n + -8n = 4n 4n = 40 + 8n + -8n Combine like terms: 8n + -8n = 0 4n = 40 + 0 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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