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Simplifying 3.00p + 5.50 * 2 = 4.00(2 + p) Multiply 5.50 * 2 3.00p + 11 = 4.00(2 + p) Reorder the terms: 11 + 3.00p = 4.00(2 + p) 11 + 3.00p = (2 * 4.00 + p * 4.00) 11 + 3.00p = (8 + 4.00p) Solving 11 + 3.00p = 8 + 4.00p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.00p' to each side of the equation. 11 + 3.00p + -4.00p = 8 + 4.00p + -4.00p Combine like terms: 3.00p + -4.00p = -1p 11 + -1p = 8 + 4.00p + -4.00p Combine like terms: 4.00p + -4.00p = 0.00 11 + -1p = 8 + 0.00 11 + -1p = 8 Add '-11' to each side of the equation. 11 + -11 + -1p = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 8 + -11 -1p = 8 + -11 Combine like terms: 8 + -11 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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