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Simplifying 0.45(p + 3) + 0.55p = 5.35 Reorder the terms: 0.45(3 + p) + 0.55p = 5.35 (3 * 0.45 + p * 0.45) + 0.55p = 5.35 (1.35 + 0.45p) + 0.55p = 5.35 Combine like terms: 0.45p + 0.55p = 1p 1.35 + 1p = 5.35 Solving 1.35 + 1p = 5.35 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + 1p = 5.35 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + 1p = 5.35 + -1.35 1p = 5.35 + -1.35 Combine like terms: 5.35 + -1.35 = 4 1p = 4 Divide each side by '1'. p = 4 Simplifying p = 4
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