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Simplifying (p + 32) + (3p + -40) + p = 522 Reorder the terms: (32 + p) + (3p + -40) + p = 522 Remove parenthesis around (32 + p) 32 + p + (3p + -40) + p = 522 Reorder the terms: 32 + p + (-40 + 3p) + p = 522 Remove parenthesis around (-40 + 3p) 32 + p + -40 + 3p + p = 522 Reorder the terms: 32 + -40 + p + 3p + p = 522 Combine like terms: 32 + -40 = -8 -8 + p + 3p + p = 522 Combine like terms: p + 3p = 4p -8 + 4p + p = 522 Combine like terms: 4p + p = 5p -8 + 5p = 522 Solving -8 + 5p = 522 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5p = 522 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = 522 + 8 5p = 522 + 8 Combine like terms: 522 + 8 = 530 5p = 530 Divide each side by '5'. p = 106 Simplifying p = 106
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