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Simplifying 6p + 8(p + 7) = 32 + 2p Reorder the terms: 6p + 8(7 + p) = 32 + 2p 6p + (7 * 8 + p * 8) = 32 + 2p 6p + (56 + 8p) = 32 + 2p Reorder the terms: 56 + 6p + 8p = 32 + 2p Combine like terms: 6p + 8p = 14p 56 + 14p = 32 + 2p Solving 56 + 14p = 32 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 56 + 14p + -2p = 32 + 2p + -2p Combine like terms: 14p + -2p = 12p 56 + 12p = 32 + 2p + -2p Combine like terms: 2p + -2p = 0 56 + 12p = 32 + 0 56 + 12p = 32 Add '-56' to each side of the equation. 56 + -56 + 12p = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 12p = 32 + -56 12p = 32 + -56 Combine like terms: 32 + -56 = -24 12p = -24 Divide each side by '12'. p = -2 Simplifying p = -2
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