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Simplifying 4(p + 3) = 2p + 8 Reorder the terms: 4(3 + p) = 2p + 8 (3 * 4 + p * 4) = 2p + 8 (12 + 4p) = 2p + 8 Reorder the terms: 12 + 4p = 8 + 2p Solving 12 + 4p = 8 + 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 = 8 + 2p + -2p Combine like terms: 4p + -2p = 2p 12 + 2p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 12 + 2p = 8 + 0 12 + 2p = 8 Add '-12' to each side of the equation. 12 + -12 + 2p = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 8 + -12 2p = 8 + -12 Combine like terms: 8 + -12 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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