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Simplifying 9p + 5 + -4(2p + -4) = 3 + 2(p + 9) Reorder the terms: 9p + 5 + -4(-4 + 2p) = 3 + 2(p + 9) 9p + 5 + (-4 * -4 + 2p * -4) = 3 + 2(p + 9) 9p + 5 + (16 + -8p) = 3 + 2(p + 9) Reorder the terms: 5 + 16 + 9p + -8p = 3 + 2(p + 9) Combine like terms: 5 + 16 = 21 21 + 9p + -8p = 3 + 2(p + 9) Combine like terms: 9p + -8p = 1p 21 + 1p = 3 + 2(p + 9) Reorder the terms: 21 + 1p = 3 + 2(9 + p) 21 + 1p = 3 + (9 * 2 + p * 2) 21 + 1p = 3 + (18 + 2p) Combine like terms: 3 + 18 = 21 21 + 1p = 21 + 2p Add '-21' to each side of the equation. 21 + -21 + 1p = 21 + -21 + 2p Combine like terms: 21 + -21 = 0 0 + 1p = 21 + -21 + 2p 1p = 21 + -21 + 2p Combine like terms: 21 + -21 = 0 1p = 0 + 2p 1p = 2p Solving 1p = 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. 1p + -2p = 2p + -2p Combine like terms: 1p + -2p = -1p -1p = 2p + -2p Combine like terms: 2p + -2p = 0 -1p = 0 Divide each side by '-1'. p = 0 Simplifying p = 0
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