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Simplifying 3(p + -2) + 7 = 32 + -4(2p + 4) Reorder the terms: 3(-2 + p) + 7 = 32 + -4(2p + 4) (-2 * 3 + p * 3) + 7 = 32 + -4(2p + 4) (-6 + 3p) + 7 = 32 + -4(2p + 4) Reorder the terms: -6 + 7 + 3p = 32 + -4(2p + 4) Combine like terms: -6 + 7 = 1 1 + 3p = 32 + -4(2p + 4) Reorder the terms: 1 + 3p = 32 + -4(4 + 2p) 1 + 3p = 32 + (4 * -4 + 2p * -4) 1 + 3p = 32 + (-16 + -8p) Combine like terms: 32 + -16 = 16 1 + 3p = 16 + -8p Solving 1 + 3p = 16 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 1 + 3p + 8p = 16 + -8p + 8p Combine like terms: 3p + 8p = 11p 1 + 11p = 16 + -8p + 8p Combine like terms: -8p + 8p = 0 1 + 11p = 16 + 0 1 + 11p = 16 Add '-1' to each side of the equation. 1 + -1 + 11p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 11p = 16 + -1 11p = 16 + -1 Combine like terms: 16 + -1 = 15 11p = 15 Divide each side by '11'. p = 1.363636364 Simplifying p = 1.363636364
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