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Simplifying 0.25p + 40 = 0.45p + 25 Reorder the terms: 40 + 0.25p = 0.45p + 25 Reorder the terms: 40 + 0.25p = 25 + 0.45p Solving 40 + 0.25p = 25 + 0.45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.45p' to each side of the equation. 40 + 0.25p + -0.45p = 25 + 0.45p + -0.45p Combine like terms: 0.25p + -0.45p = -0.2p 40 + -0.2p = 25 + 0.45p + -0.45p Combine like terms: 0.45p + -0.45p = 0.00 40 + -0.2p = 25 + 0.00 40 + -0.2p = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2p = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2p = 25 + -40 -0.2p = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2p = -15 Divide each side by '-0.2'. p = 75 Simplifying p = 75
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