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Simplifying 2(7p + 8) + 6(2p + 8) = 0 Reorder the terms: 2(8 + 7p) + 6(2p + 8) = 0 (8 * 2 + 7p * 2) + 6(2p + 8) = 0 (16 + 14p) + 6(2p + 8) = 0 Reorder the terms: 16 + 14p + 6(8 + 2p) = 0 16 + 14p + (8 * 6 + 2p * 6) = 0 16 + 14p + (48 + 12p) = 0 Reorder the terms: 16 + 48 + 14p + 12p = 0 Combine like terms: 16 + 48 = 64 64 + 14p + 12p = 0 Combine like terms: 14p + 12p = 26p 64 + 26p = 0 Solving 64 + 26p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 26p = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 26p = 0 + -64 26p = 0 + -64 Combine like terms: 0 + -64 = -64 26p = -64 Divide each side by '26'. p = -2.461538462 Simplifying p = -2.461538462
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