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Simplifying 5p + 7(7p + -8) = 214 Reorder the terms: 5p + 7(-8 + 7p) = 214 5p + (-8 * 7 + 7p * 7) = 214 5p + (-56 + 49p) = 214 Reorder the terms: -56 + 5p + 49p = 214 Combine like terms: 5p + 49p = 54p -56 + 54p = 214 Solving -56 + 54p = 214 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 54p = 214 + 56 Combine like terms: -56 + 56 = 0 0 + 54p = 214 + 56 54p = 214 + 56 Combine like terms: 214 + 56 = 270 54p = 270 Divide each side by '54'. p = 5 Simplifying p = 5
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