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Simplifying 0 = 2(p + 2) + 3(p + 4) Reorder the terms: 0 = 2(2 + p) + 3(p + 4) 0 = (2 * 2 + p * 2) + 3(p + 4) 0 = (4 + 2p) + 3(p + 4) Reorder the terms: 0 = 4 + 2p + 3(4 + p) 0 = 4 + 2p + (4 * 3 + p * 3) 0 = 4 + 2p + (12 + 3p) Reorder the terms: 0 = 4 + 12 + 2p + 3p Combine like terms: 4 + 12 = 16 0 = 16 + 2p + 3p Combine like terms: 2p + 3p = 5p 0 = 16 + 5p Solving 0 = 16 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 0 + -5p = 16 + 5p + -5p Remove the zero: -5p = 16 + 5p + -5p Combine like terms: 5p + -5p = 0 -5p = 16 + 0 -5p = 16 Divide each side by '-5'. p = -3.2 Simplifying p = -3.2
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