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Simplifying 7(-8 + 8p) + -4p = 5p + 38 (-8 * 7 + 8p * 7) + -4p = 5p + 38 (-56 + 56p) + -4p = 5p + 38 Combine like terms: 56p + -4p = 52p -56 + 52p = 5p + 38 Reorder the terms: -56 + 52p = 38 + 5p Solving -56 + 52p = 38 + 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. -56 + 52p + -5p = 38 + 5p + -5p Combine like terms: 52p + -5p = 47p -56 + 47p = 38 + 5p + -5p Combine like terms: 5p + -5p = 0 -56 + 47p = 38 + 0 -56 + 47p = 38 Add '56' to each side of the equation. -56 + 56 + 47p = 38 + 56 Combine like terms: -56 + 56 = 0 0 + 47p = 38 + 56 47p = 38 + 56 Combine like terms: 38 + 56 = 94 47p = 94 Divide each side by '47'. p = 2 Simplifying p = 2
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