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Simplifying 3p + 12 = 6(2p + 4) Reorder the terms: 12 + 3p = 6(2p + 4) Reorder the terms: 12 + 3p = 6(4 + 2p) 12 + 3p = (4 * 6 + 2p * 6) 12 + 3p = (24 + 12p) Solving 12 + 3p = 24 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 12 + 3p + -12p = 24 + 12p + -12p Combine like terms: 3p + -12p = -9p 12 + -9p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 12 + -9p = 24 + 0 12 + -9p = 24 Add '-12' to each side of the equation. 12 + -12 + -9p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -9p = 24 + -12 -9p = 24 + -12 Combine like terms: 24 + -12 = 12 -9p = 12 Divide each side by '-9'. p = -1.333333333 Simplifying p = -1.333333333
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