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Simplifying 7 + 2p = 3 + -7(2p + 4) Reorder the terms: 7 + 2p = 3 + -7(4 + 2p) 7 + 2p = 3 + (4 * -7 + 2p * -7) 7 + 2p = 3 + (-28 + -14p) Combine like terms: 3 + -28 = -25 7 + 2p = -25 + -14p Solving 7 + 2p = -25 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 7 + 2p + 14p = -25 + -14p + 14p Combine like terms: 2p + 14p = 16p 7 + 16p = -25 + -14p + 14p Combine like terms: -14p + 14p = 0 7 + 16p = -25 + 0 7 + 16p = -25 Add '-7' to each side of the equation. 7 + -7 + 16p = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 16p = -25 + -7 16p = -25 + -7 Combine like terms: -25 + -7 = -32 16p = -32 Divide each side by '16'. p = -2 Simplifying p = -2
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