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Simplifying 25 + 2p + (6p + -5) = -4(5p + 2) Reorder the terms: 25 + 2p + (-5 + 6p) = -4(5p + 2) Remove parenthesis around (-5 + 6p) 25 + 2p + -5 + 6p = -4(5p + 2) Reorder the terms: 25 + -5 + 2p + 6p = -4(5p + 2) Combine like terms: 25 + -5 = 20 20 + 2p + 6p = -4(5p + 2) Combine like terms: 2p + 6p = 8p 20 + 8p = -4(5p + 2) Reorder the terms: 20 + 8p = -4(2 + 5p) 20 + 8p = (2 * -4 + 5p * -4) 20 + 8p = (-8 + -20p) Solving 20 + 8p = -8 + -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. 20 + 8p + 20p = -8 + -20p + 20p Combine like terms: 8p + 20p = 28p 20 + 28p = -8 + -20p + 20p Combine like terms: -20p + 20p = 0 20 + 28p = -8 + 0 20 + 28p = -8 Add '-20' to each side of the equation. 20 + -20 + 28p = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 28p = -8 + -20 28p = -8 + -20 Combine like terms: -8 + -20 = -28 28p = -28 Divide each side by '28'. p = -1 Simplifying p = -1
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