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Simplifying 19 + 2p = 8 + -7(4p + 7) Reorder the terms: 19 + 2p = 8 + -7(7 + 4p) 19 + 2p = 8 + (7 * -7 + 4p * -7) 19 + 2p = 8 + (-49 + -28p) Combine like terms: 8 + -49 = -41 19 + 2p = -41 + -28p Solving 19 + 2p = -41 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 19 + 2p + 28p = -41 + -28p + 28p Combine like terms: 2p + 28p = 30p 19 + 30p = -41 + -28p + 28p Combine like terms: -28p + 28p = 0 19 + 30p = -41 + 0 19 + 30p = -41 Add '-19' to each side of the equation. 19 + -19 + 30p = -41 + -19 Combine like terms: 19 + -19 = 0 0 + 30p = -41 + -19 30p = -41 + -19 Combine like terms: -41 + -19 = -60 30p = -60 Divide each side by '30'. p = -2 Simplifying p = -2
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