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Simplifying (Q + 16)(p + 12) = 480 Reorder the terms: (16 + Q)(p + 12) = 480 Reorder the terms: (16 + Q)(12 + p) = 480 Multiply (16 + Q) * (12 + p) (16(12 + p) + Q(12 + p)) = 480 ((12 * 16 + p * 16) + Q(12 + p)) = 480 ((192 + 16p) + Q(12 + p)) = 480 (192 + 16p + (12 * Q + p * Q)) = 480 (192 + 16p + (12Q + pQ)) = 480 Reorder the terms: (192 + 12Q + 16p + pQ) = 480 (192 + 12Q + 16p + pQ) = 480 Solving 192 + 12Q + 16p + pQ = 480 Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + 12Q + 16p + -192 + pQ = 480 + -192 Reorder the terms: 192 + -192 + 12Q + 16p + pQ = 480 + -192 Combine like terms: 192 + -192 = 0 0 + 12Q + 16p + pQ = 480 + -192 12Q + 16p + pQ = 480 + -192 Combine like terms: 480 + -192 = 288 12Q + 16p + pQ = 288 Add '-16p' to each side of the equation. 12Q + 16p + -16p + pQ = 288 + -16p Combine like terms: 16p + -16p = 0 12Q + 0 + pQ = 288 + -16p 12Q + pQ = 288 + -16p Reorder the terms: -288 + 12Q + 16p + pQ = 288 + -16p + -288 + 16p Reorder the terms: -288 + 12Q + 16p + pQ = 288 + -288 + -16p + 16p Combine like terms: 288 + -288 = 0 -288 + 12Q + 16p + pQ = 0 + -16p + 16p -288 + 12Q + 16p + pQ = -16p + 16p Combine like terms: -16p + 16p = 0 -288 + 12Q + 16p + pQ = 0 The solution to this equation could not be determined.
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