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Simplifying p + -2(3 + -2p) = 2p + 9 p + (3 * -2 + -2p * -2) = 2p + 9 p + (-6 + 4p) = 2p + 9 Reorder the terms: -6 + p + 4p = 2p + 9 Combine like terms: p + 4p = 5p -6 + 5p = 2p + 9 Reorder the terms: -6 + 5p = 9 + 2p Solving -6 + 5p = 9 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -6 + 5p + -2p = 9 + 2p + -2p Combine like terms: 5p + -2p = 3p -6 + 3p = 9 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + 3p = 9 + 0 -6 + 3p = 9 Add '6' to each side of the equation. -6 + 6 + 3p = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = 9 + 6 3p = 9 + 6 Combine like terms: 9 + 6 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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