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Simplifying 2p + 3(p + 1) = 12 + -4p Reorder the terms: 2p + 3(1 + p) = 12 + -4p 2p + (1 * 3 + p * 3) = 12 + -4p 2p + (3 + 3p) = 12 + -4p Reorder the terms: 3 + 2p + 3p = 12 + -4p Combine like terms: 2p + 3p = 5p 3 + 5p = 12 + -4p Solving 3 + 5p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 3 + 5p + 4p = 12 + -4p + 4p Combine like terms: 5p + 4p = 9p 3 + 9p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 3 + 9p = 12 + 0 3 + 9p = 12 Add '-3' to each side of the equation. 3 + -3 + 9p = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9p = 12 + -3 9p = 12 + -3 Combine like terms: 12 + -3 = 9 9p = 9 Divide each side by '9'. p = 1 Simplifying p = 1
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