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Simplifying 3(p + 3) + 2 = 5p + 9 Reorder the terms: 3(3 + p) + 2 = 5p + 9 (3 * 3 + p * 3) + 2 = 5p + 9 (9 + 3p) + 2 = 5p + 9 Reorder the terms: 9 + 2 + 3p = 5p + 9 Combine like terms: 9 + 2 = 11 11 + 3p = 5p + 9 Reorder the terms: 11 + 3p = 9 + 5p Solving 11 + 3p = 9 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 11 + 3p + -5p = 9 + 5p + -5p Combine like terms: 3p + -5p = -2p 11 + -2p = 9 + 5p + -5p Combine like terms: 5p + -5p = 0 11 + -2p = 9 + 0 11 + -2p = 9 Add '-11' to each side of the equation. 11 + -11 + -2p = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -2p = 9 + -11 -2p = 9 + -11 Combine like terms: 9 + -11 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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