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Simplifying 3p + 7 = 5 + -1(8p + 2) Reorder the terms: 7 + 3p = 5 + -1(8p + 2) Reorder the terms: 7 + 3p = 5 + -1(2 + 8p) 7 + 3p = 5 + (2 * -1 + 8p * -1) 7 + 3p = 5 + (-2 + -8p) Combine like terms: 5 + -2 = 3 7 + 3p = 3 + -8p Solving 7 + 3p = 3 + -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. 7 + 3p + 8p = 3 + -8p + 8p Combine like terms: 3p + 8p = 11p 7 + 11p = 3 + -8p + 8p Combine like terms: -8p + 8p = 0 7 + 11p = 3 + 0 7 + 11p = 3 Add '-7' to each side of the equation. 7 + -7 + 11p = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 11p = 3 + -7 11p = 3 + -7 Combine like terms: 3 + -7 = -4 11p = -4 Divide each side by '11'. p = -0.3636363636 Simplifying p = -0.3636363636
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