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Simplifying 40.5p + 14.40 = 4.50(p + 3) Reorder the terms: 14.40 + 40.5p = 4.50(p + 3) Reorder the terms: 14.40 + 40.5p = 4.50(3 + p) 14.40 + 40.5p = (3 * 4.50 + p * 4.50) 14.40 + 40.5p = (13.5 + 4.50p) Solving 14.40 + 40.5p = 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 + 40.5p + -4.50p = 13.5 + 4.50p + -4.50p Combine like terms: 40.5p + -4.50p = 36p 14.40 + 36p = 13.5 + 4.50p + -4.50p Combine like terms: 4.50p + -4.50p = 0.00 14.40 + 36p = 13.5 + 0.00 14.40 + 36p = 13.5 Add '-14.40' to each side of the equation. 14.40 + -14.40 + 36p = 13.5 + -14.40 Combine like terms: 14.40 + -14.40 = 0.00 0.00 + 36p = 13.5 + -14.40 36p = 13.5 + -14.40 Combine like terms: 13.5 + -14.40 = -0.9 36p = -0.9 Divide each side by '36'. p = -0.025 Simplifying p = -0.025
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