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Simplifying -3p + 7 = 5 + -1(5p + 3) Reorder the terms: 7 + -3p = 5 + -1(5p + 3) Reorder the terms: 7 + -3p = 5 + -1(3 + 5p) 7 + -3p = 5 + (3 * -1 + 5p * -1) 7 + -3p = 5 + (-3 + -5p) Combine like terms: 5 + -3 = 2 7 + -3p = 2 + -5p Solving 7 + -3p = 2 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 7 + -3p + 5p = 2 + -5p + 5p Combine like terms: -3p + 5p = 2p 7 + 2p = 2 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 2p = 2 + 0 7 + 2p = 2 Add '-7' to each side of the equation. 7 + -7 + 2p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 2 + -7 2p = 2 + -7 Combine like terms: 2 + -7 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5
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