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Simplifying 40 + 5p = -8 + -1(1 + 2p) 40 + 5p = -8 + (1 * -1 + 2p * -1) 40 + 5p = -8 + (-1 + -2p) Combine like terms: -8 + -1 = -9 40 + 5p = -9 + -2p Solving 40 + 5p = -9 + -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. 40 + 5p + 2p = -9 + -2p + 2p Combine like terms: 5p + 2p = 7p 40 + 7p = -9 + -2p + 2p Combine like terms: -2p + 2p = 0 40 + 7p = -9 + 0 40 + 7p = -9 Add '-40' to each side of the equation. 40 + -40 + 7p = -9 + -40 Combine like terms: 40 + -40 = 0 0 + 7p = -9 + -40 7p = -9 + -40 Combine like terms: -9 + -40 = -49 7p = -49 Divide each side by '7'. p = -7 Simplifying p = -7
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