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Simplifying 4(3p2 + 2p) + -12p2 = 2(8p + 6) Reorder the terms: 4(2p + 3p2) + -12p2 = 2(8p + 6) (2p * 4 + 3p2 * 4) + -12p2 = 2(8p + 6) (8p + 12p2) + -12p2 = 2(8p + 6) Combine like terms: 12p2 + -12p2 = 0 8p + 0 = 2(8p + 6) 8p = 2(8p + 6) Reorder the terms: 8p = 2(6 + 8p) 8p = (6 * 2 + 8p * 2) 8p = (12 + 16p) Solving 8p = 12 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 8p + -16p = 12 + 16p + -16p Combine like terms: 8p + -16p = -8p -8p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 -8p = 12 + 0 -8p = 12 Divide each side by '-8'. p = -1.5 Simplifying p = -1.5
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