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Simplifying (7p + -8) = (6p + 47) Reorder the terms: (-8 + 7p) = (6p + 47) Remove parenthesis around (-8 + 7p) -8 + 7p = (6p + 47) Reorder the terms: -8 + 7p = (47 + 6p) Remove parenthesis around (47 + 6p) -8 + 7p = 47 + 6p Solving -8 + 7p = 47 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -8 + 7p + -6p = 47 + 6p + -6p Combine like terms: 7p + -6p = 1p -8 + 1p = 47 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 1p = 47 + 0 -8 + 1p = 47 Add '8' to each side of the equation. -8 + 8 + 1p = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 1p = 47 + 8 1p = 47 + 8 Combine like terms: 47 + 8 = 55 1p = 55 Divide each side by '1'. p = 55 Simplifying p = 55
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