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Simplifying (3p + 55) = (7p + 15) Reorder the terms: (55 + 3p) = (7p + 15) Remove parenthesis around (55 + 3p) 55 + 3p = (7p + 15) Reorder the terms: 55 + 3p = (15 + 7p) Remove parenthesis around (15 + 7p) 55 + 3p = 15 + 7p Solving 55 + 3p = 15 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 55 + 3p + -7p = 15 + 7p + -7p Combine like terms: 3p + -7p = -4p 55 + -4p = 15 + 7p + -7p Combine like terms: 7p + -7p = 0 55 + -4p = 15 + 0 55 + -4p = 15 Add '-55' to each side of the equation. 55 + -55 + -4p = 15 + -55 Combine like terms: 55 + -55 = 0 0 + -4p = 15 + -55 -4p = 15 + -55 Combine like terms: 15 + -55 = -40 -4p = -40 Divide each side by '-4'. p = 10 Simplifying p = 10
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