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Simplifying 32 + 30p + 42 = 49p + 32 Reorder the terms: 32 + 42 + 30p = 49p + 32 Combine like terms: 32 + 42 = 74 74 + 30p = 49p + 32 Reorder the terms: 74 + 30p = 32 + 49p Solving 74 + 30p = 32 + 49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49p' to each side of the equation. 74 + 30p + -49p = 32 + 49p + -49p Combine like terms: 30p + -49p = -19p 74 + -19p = 32 + 49p + -49p Combine like terms: 49p + -49p = 0 74 + -19p = 32 + 0 74 + -19p = 32 Add '-74' to each side of the equation. 74 + -74 + -19p = 32 + -74 Combine like terms: 74 + -74 = 0 0 + -19p = 32 + -74 -19p = 32 + -74 Combine like terms: 32 + -74 = -42 -19p = -42 Divide each side by '-19'. p = 2.210526316 Simplifying p = 2.210526316
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