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Simplifying 4.05p + 14.40 = 4.50[p + 3] Reorder the terms: 14.40 + 4.05p = 4.50[p + 3] Reorder the terms: 14.40 + 4.05p = 4.50[3 + p] 14.40 + 4.05p = [3 * 4.50 + p * 4.50] 14.40 + 4.05p = [13.5 + 4.50p] Solving 14.40 + 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. 14.40 + 4.05p + -4.50p = 13.5 + 4.50p + -4.50p Combine like terms: 4.05p + -4.50p = -0.45p 14.40 + -0.45p = 13.5 + 4.50p + -4.50p Combine like terms: 4.50p + -4.50p = 0.00 14.40 + -0.45p = 13.5 + 0.00 14.40 + -0.45p = 13.5 Add '-14.40' to each side of the equation. 14.40 + -14.40 + -0.45p = 13.5 + -14.40 Combine like terms: 14.40 + -14.40 = 0.00 0.00 + -0.45p = 13.5 + -14.40 -0.45p = 13.5 + -14.40 Combine like terms: 13.5 + -14.40 = -0.9 -0.45p = -0.9 Divide each side by '-0.45'. p = 2 Simplifying p = 2
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