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Simplifying 12 + 4p = 2(p + 3) + 4 Reorder the terms: 12 + 4p = 2(3 + p) + 4 12 + 4p = (3 * 2 + p * 2) + 4 12 + 4p = (6 + 2p) + 4 Reorder the terms: 12 + 4p = 6 + 4 + 2p Combine like terms: 6 + 4 = 10 12 + 4p = 10 + 2p Solving 12 + 4p = 10 + 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. 12 + 4p + -2p = 10 + 2p + -2p Combine like terms: 4p + -2p = 2p 12 + 2p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 2p = 10 + 0 12 + 2p = 10 Add '-12' to each side of the equation. 12 + -12 + 2p = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 10 + -12 2p = 10 + -12 Combine like terms: 10 + -12 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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