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Simplifying 3(2n + 6) = 2(4n + -8) Reorder the terms: 3(6 + 2n) = 2(4n + -8) (6 * 3 + 2n * 3) = 2(4n + -8) (18 + 6n) = 2(4n + -8) Reorder the terms: 18 + 6n = 2(-8 + 4n) 18 + 6n = (-8 * 2 + 4n * 2) 18 + 6n = (-16 + 8n) Solving 18 + 6n = -16 + 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. 18 + 6n + -8n = -16 + 8n + -8n Combine like terms: 6n + -8n = -2n 18 + -2n = -16 + 8n + -8n Combine like terms: 8n + -8n = 0 18 + -2n = -16 + 0 18 + -2n = -16 Add '-18' to each side of the equation. 18 + -18 + -2n = -16 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = -16 + -18 -2n = -16 + -18 Combine like terms: -16 + -18 = -34 -2n = -34 Divide each side by '-2'. n = 17 Simplifying n = 17
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