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Simplifying -4(2p + 4) + -25 = 5(4p + 3) Reorder the terms: -4(4 + 2p) + -25 = 5(4p + 3) (4 * -4 + 2p * -4) + -25 = 5(4p + 3) (-16 + -8p) + -25 = 5(4p + 3) Reorder the terms: -16 + -25 + -8p = 5(4p + 3) Combine like terms: -16 + -25 = -41 -41 + -8p = 5(4p + 3) Reorder the terms: -41 + -8p = 5(3 + 4p) -41 + -8p = (3 * 5 + 4p * 5) -41 + -8p = (15 + 20p) Solving -41 + -8p = 15 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -41 + -8p + -20p = 15 + 20p + -20p Combine like terms: -8p + -20p = -28p -41 + -28p = 15 + 20p + -20p Combine like terms: 20p + -20p = 0 -41 + -28p = 15 + 0 -41 + -28p = 15 Add '41' to each side of the equation. -41 + 41 + -28p = 15 + 41 Combine like terms: -41 + 41 = 0 0 + -28p = 15 + 41 -28p = 15 + 41 Combine like terms: 15 + 41 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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