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Simplifying 7 + 1 + 6p + -3p = 1 + -8p + -4 Combine like terms: 7 + 1 = 8 8 + 6p + -3p = 1 + -8p + -4 Combine like terms: 6p + -3p = 3p 8 + 3p = 1 + -8p + -4 Reorder the terms: 8 + 3p = 1 + -4 + -8p Combine like terms: 1 + -4 = -3 8 + 3p = -3 + -8p Solving 8 + 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. 8 + 3p + 8p = -3 + -8p + 8p Combine like terms: 3p + 8p = 11p 8 + 11p = -3 + -8p + 8p Combine like terms: -8p + 8p = 0 8 + 11p = -3 + 0 8 + 11p = -3 Add '-8' to each side of the equation. 8 + -8 + 11p = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 11p = -3 + -8 11p = -3 + -8 Combine like terms: -3 + -8 = -11 11p = -11 Divide each side by '11'. p = -1 Simplifying p = -1
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