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Simplifying 4 + 3p = 2 + 5(1 + -1p) 4 + 3p = 2 + (1 * 5 + -1p * 5) 4 + 3p = 2 + (5 + -5p) Combine like terms: 2 + 5 = 7 4 + 3p = 7 + -5p Solving 4 + 3p = 7 + -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. 4 + 3p + 5p = 7 + -5p + 5p Combine like terms: 3p + 5p = 8p 4 + 8p = 7 + -5p + 5p Combine like terms: -5p + 5p = 0 4 + 8p = 7 + 0 4 + 8p = 7 Add '-4' to each side of the equation. 4 + -4 + 8p = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 8p = 7 + -4 8p = 7 + -4 Combine like terms: 7 + -4 = 3 8p = 3 Divide each side by '8'. p = 0.375 Simplifying p = 0.375
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