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Simplifying 3p + 2 = 178 + -5p Reorder the terms: 2 + 3p = 178 + -5p Solving 2 + 3p = 178 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 2 + 3p + 5p = 178 + -5p + 5p Combine like terms: 3p + 5p = 8p 2 + 8p = 178 + -5p + 5p Combine like terms: -5p + 5p = 0 2 + 8p = 178 + 0 2 + 8p = 178 Add '-2' to each side of the equation. 2 + -2 + 8p = 178 + -2 Combine like terms: 2 + -2 = 0 0 + 8p = 178 + -2 8p = 178 + -2 Combine like terms: 178 + -2 = 176 8p = 176 Divide each side by '8'. p = 22 Simplifying p = 22
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