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Simplifying 3p + 12 = 5p + 2 Reorder the terms: 12 + 3p = 5p + 2 Reorder the terms: 12 + 3p = 2 + 5p Solving 12 + 3p = 2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 12 + 3p + -5p = 2 + 5p + -5p Combine like terms: 3p + -5p = -2p 12 + -2p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 12 + -2p = 2 + 0 12 + -2p = 2 Add '-12' to each side of the equation. 12 + -12 + -2p = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2p = 2 + -12 -2p = 2 + -12 Combine like terms: 2 + -12 = -10 -2p = -10 Divide each side by '-2'. p = 5 Simplifying p = 5
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