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Simplifying 4(2p + 3) = 12 + 3p Reorder the terms: 4(3 + 2p) = 12 + 3p (3 * 4 + 2p * 4) = 12 + 3p (12 + 8p) = 12 + 3p Add '-12' to each side of the equation. 12 + -12 + 8p = 12 + -12 + 3p Combine like terms: 12 + -12 = 0 0 + 8p = 12 + -12 + 3p 8p = 12 + -12 + 3p Combine like terms: 12 + -12 = 0 8p = 0 + 3p 8p = 3p Solving 8p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8p + -3p = 3p + -3p Combine like terms: 8p + -3p = 5p 5p = 3p + -3p Combine like terms: 3p + -3p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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