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Simplifying (p + 19) + (3p + -39) + p = 580 Reorder the terms: (19 + p) + (3p + -39) + p = 580 Remove parenthesis around (19 + p) 19 + p + (3p + -39) + p = 580 Reorder the terms: 19 + p + (-39 + 3p) + p = 580 Remove parenthesis around (-39 + 3p) 19 + p + -39 + 3p + p = 580 Reorder the terms: 19 + -39 + p + 3p + p = 580 Combine like terms: 19 + -39 = -20 -20 + p + 3p + p = 580 Combine like terms: p + 3p = 4p -20 + 4p + p = 580 Combine like terms: 4p + p = 5p -20 + 5p = 580 Solving -20 + 5p = 580 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5p = 580 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = 580 + 20 5p = 580 + 20 Combine like terms: 580 + 20 = 600 5p = 600 Divide each side by '5'. p = 120 Simplifying p = 120
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