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Simplifying 7.5 = 2 + 1.5(3p + 1) Reorder the terms: 7.5 = 2 + 1.5(1 + 3p) 7.5 = 2 + (1 * 1.5 + 3p * 1.5) 7.5 = 2 + (1.5 + 4.5p) Combine like terms: 2 + 1.5 = 3.5 7.5 = 3.5 + 4.5p Solving 7.5 = 3.5 + 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. 7.5 + -4.5p = 3.5 + 4.5p + -4.5p Combine like terms: 4.5p + -4.5p = 0.0 7.5 + -4.5p = 3.5 + 0.0 7.5 + -4.5p = 3.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -4.5p = 3.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -4.5p = 3.5 + -7.5 -4.5p = 3.5 + -7.5 Combine like terms: 3.5 + -7.5 = -4 -4.5p = -4 Divide each side by '-4.5'. p = 0.8888888889 Simplifying p = 0.8888888889
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