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Simplifying p + 38 = 4(-2p + 5) Reorder the terms: 38 + p = 4(-2p + 5) Reorder the terms: 38 + p = 4(5 + -2p) 38 + p = (5 * 4 + -2p * 4) 38 + p = (20 + -8p) Solving 38 + p = 20 + -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. 38 + p + 8p = 20 + -8p + 8p Combine like terms: p + 8p = 9p 38 + 9p = 20 + -8p + 8p Combine like terms: -8p + 8p = 0 38 + 9p = 20 + 0 38 + 9p = 20 Add '-38' to each side of the equation. 38 + -38 + 9p = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 9p = 20 + -38 9p = 20 + -38 Combine like terms: 20 + -38 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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