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Simplifying 4.05p + 14.50 = 4.50(p + 3) Reorder the terms: 14.50 + 4.05p = 4.50(p + 3) Reorder the terms: 14.50 + 4.05p = 4.50(3 + p) 14.50 + 4.05p = (3 * 4.50 + p * 4.50) 14.50 + 4.05p = (13.5 + 4.50p) Solving 14.50 + 4.05p = 13.5 + 4.50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.50p' to each side of the equation. 14.50 + 4.05p + -4.50p = 13.5 + 4.50p + -4.50p Combine like terms: 4.05p + -4.50p = -0.45p 14.50 + -0.45p = 13.5 + 4.50p + -4.50p Combine like terms: 4.50p + -4.50p = 0.00 14.50 + -0.45p = 13.5 + 0.00 14.50 + -0.45p = 13.5 Add '-14.50' to each side of the equation. 14.50 + -14.50 + -0.45p = 13.5 + -14.50 Combine like terms: 14.50 + -14.50 = 0.00 0.00 + -0.45p = 13.5 + -14.50 -0.45p = 13.5 + -14.50 Combine like terms: 13.5 + -14.50 = -1 -0.45p = -1 Divide each side by '-0.45'. p = 2.222222222 Simplifying p = 2.222222222
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