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Simplifying 4.05p + 14.4 = 4.50(p + 3) Reorder the terms: 14.4 + 4.05p = 4.50(p + 3) Reorder the terms: 14.4 + 4.05p = 4.50(3 + p) 14.4 + 4.05p = (3 * 4.50 + p * 4.50) 14.4 + 4.05p = (13.5 + 4.50p) Solving 14.4 + 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. 14.4 + 4.05p + -4.50p = 13.5 + 4.50p + -4.50p Combine like terms: 4.05p + -4.50p = -0.45p 14.4 + -0.45p = 13.5 + 4.50p + -4.50p Combine like terms: 4.50p + -4.50p = 0.00 14.4 + -0.45p = 13.5 + 0.00 14.4 + -0.45p = 13.5 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -0.45p = 13.5 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -0.45p = 13.5 + -14.4 -0.45p = 13.5 + -14.4 Combine like terms: 13.5 + -14.4 = -0.9 -0.45p = -0.9 Divide each side by '-0.45'. p = 2 Simplifying p = 2
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