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Simplifying 1.5p + 2.25(p + 2) = 12 Reorder the terms: 1.5p + 2.25(2 + p) = 12 1.5p + (2 * 2.25 + p * 2.25) = 12 1.5p + (4.5 + 2.25p) = 12 Reorder the terms: 4.5 + 1.5p + 2.25p = 12 Combine like terms: 1.5p + 2.25p = 3.75p 4.5 + 3.75p = 12 Solving 4.5 + 3.75p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 3.75p = 12 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3.75p = 12 + -4.5 3.75p = 12 + -4.5 Combine like terms: 12 + -4.5 = 7.5 3.75p = 7.5 Divide each side by '3.75'. p = 2 Simplifying p = 2
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