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Simplifying 4.05p + 14.4 = 4.5(p + 3) Reorder the terms: 14.4 + 4.05p = 4.5(p + 3) Reorder the terms: 14.4 + 4.05p = 4.5(3 + p) 14.4 + 4.05p = (3 * 4.5 + p * 4.5) 14.4 + 4.05p = (13.5 + 4.5p) Solving 14.4 + 4.05p = 13.5 + 4.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.5p' to each side of the equation. 14.4 + 4.05p + -4.5p = 13.5 + 4.5p + -4.5p Combine like terms: 4.05p + -4.5p = -0.45p 14.4 + -0.45p = 13.5 + 4.5p + -4.5p Combine like terms: 4.5p + -4.5p = 0.0 14.4 + -0.45p = 13.5 + 0.0 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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