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Simplifying 1.95p + 15(1.55) = 1.75(p + 15) Multiply 15 * 1.55 1.95p + 23.25 = 1.75(p + 15) Reorder the terms: 23.25 + 1.95p = 1.75(p + 15) Reorder the terms: 23.25 + 1.95p = 1.75(15 + p) 23.25 + 1.95p = (15 * 1.75 + p * 1.75) 23.25 + 1.95p = (26.25 + 1.75p) Solving 23.25 + 1.95p = 26.25 + 1.75p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.75p' to each side of the equation. 23.25 + 1.95p + -1.75p = 26.25 + 1.75p + -1.75p Combine like terms: 1.95p + -1.75p = 0.2p 23.25 + 0.2p = 26.25 + 1.75p + -1.75p Combine like terms: 1.75p + -1.75p = 0.00 23.25 + 0.2p = 26.25 + 0.00 23.25 + 0.2p = 26.25 Add '-23.25' to each side of the equation. 23.25 + -23.25 + 0.2p = 26.25 + -23.25 Combine like terms: 23.25 + -23.25 = 0.00 0.00 + 0.2p = 26.25 + -23.25 0.2p = 26.25 + -23.25 Combine like terms: 26.25 + -23.25 = 3 0.2p = 3 Divide each side by '0.2'. p = 15 Simplifying p = 15
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