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Simplifying 5 = 3p + (5p + -3) Reorder the terms: 5 = 3p + (-3 + 5p) Remove parenthesis around (-3 + 5p) 5 = 3p + -3 + 5p Reorder the terms: 5 = -3 + 3p + 5p Combine like terms: 3p + 5p = 8p 5 = -3 + 8p Solving 5 = -3 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 5 + -8p = -3 + 8p + -8p Combine like terms: 8p + -8p = 0 5 + -8p = -3 + 0 5 + -8p = -3 Add '-5' to each side of the equation. 5 + -5 + -8p = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -8p = -3 + -5 -8p = -3 + -5 Combine like terms: -3 + -5 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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