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Simplifying 39 + -5p = 4p + -8(1 + 7p) 39 + -5p = 4p + (1 * -8 + 7p * -8) 39 + -5p = 4p + (-8 + -56p) Reorder the terms: 39 + -5p = -8 + 4p + -56p Combine like terms: 4p + -56p = -52p 39 + -5p = -8 + -52p Solving 39 + -5p = -8 + -52p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '52p' to each side of the equation. 39 + -5p + 52p = -8 + -52p + 52p Combine like terms: -5p + 52p = 47p 39 + 47p = -8 + -52p + 52p Combine like terms: -52p + 52p = 0 39 + 47p = -8 + 0 39 + 47p = -8 Add '-39' to each side of the equation. 39 + -39 + 47p = -8 + -39 Combine like terms: 39 + -39 = 0 0 + 47p = -8 + -39 47p = -8 + -39 Combine like terms: -8 + -39 = -47 47p = -47 Divide each side by '47'. p = -1 Simplifying p = -1
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