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Simplifying 2 + 8n = 6(2n + 3) Reorder the terms: 2 + 8n = 6(3 + 2n) 2 + 8n = (3 * 6 + 2n * 6) 2 + 8n = (18 + 12n) Solving 2 + 8n = 18 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 2 + 8n + -12n = 18 + 12n + -12n Combine like terms: 8n + -12n = -4n 2 + -4n = 18 + 12n + -12n Combine like terms: 12n + -12n = 0 2 + -4n = 18 + 0 2 + -4n = 18 Add '-2' to each side of the equation. 2 + -2 + -4n = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = 18 + -2 -4n = 18 + -2 Combine like terms: 18 + -2 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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