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Simplifying 2(p + 2) + -1 = -4 + -3(3p + 5) Reorder the terms: 2(2 + p) + -1 = -4 + -3(3p + 5) (2 * 2 + p * 2) + -1 = -4 + -3(3p + 5) (4 + 2p) + -1 = -4 + -3(3p + 5) Reorder the terms: 4 + -1 + 2p = -4 + -3(3p + 5) Combine like terms: 4 + -1 = 3 3 + 2p = -4 + -3(3p + 5) Reorder the terms: 3 + 2p = -4 + -3(5 + 3p) 3 + 2p = -4 + (5 * -3 + 3p * -3) 3 + 2p = -4 + (-15 + -9p) Combine like terms: -4 + -15 = -19 3 + 2p = -19 + -9p Solving 3 + 2p = -19 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 3 + 2p + 9p = -19 + -9p + 9p Combine like terms: 2p + 9p = 11p 3 + 11p = -19 + -9p + 9p Combine like terms: -9p + 9p = 0 3 + 11p = -19 + 0 3 + 11p = -19 Add '-3' to each side of the equation. 3 + -3 + 11p = -19 + -3 Combine like terms: 3 + -3 = 0 0 + 11p = -19 + -3 11p = -19 + -3 Combine like terms: -19 + -3 = -22 11p = -22 Divide each side by '11'. p = -2 Simplifying p = -2
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