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Simplifying 2(4n + 8) = 3(2n + -16) Reorder the terms: 2(8 + 4n) = 3(2n + -16) (8 * 2 + 4n * 2) = 3(2n + -16) (16 + 8n) = 3(2n + -16) Reorder the terms: 16 + 8n = 3(-16 + 2n) 16 + 8n = (-16 * 3 + 2n * 3) 16 + 8n = (-48 + 6n) Solving 16 + 8n = -48 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + 8n + -6n = -48 + 6n + -6n Combine like terms: 8n + -6n = 2n 16 + 2n = -48 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + 2n = -48 + 0 16 + 2n = -48 Add '-16' to each side of the equation. 16 + -16 + 2n = -48 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = -48 + -16 2n = -48 + -16 Combine like terms: -48 + -16 = -64 2n = -64 Divide each side by '2'. n = -32 Simplifying n = -32
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