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Simplifying 12 + 2p = 3(4 + -5p) 12 + 2p = (4 * 3 + -5p * 3) 12 + 2p = (12 + -15p) Add '-12' to each side of the equation. 12 + -12 + 2p = 12 + -12 + -15p Combine like terms: 12 + -12 = 0 0 + 2p = 12 + -12 + -15p 2p = 12 + -12 + -15p Combine like terms: 12 + -12 = 0 2p = 0 + -15p 2p = -15p Solving 2p = -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 2p + 15p = -15p + 15p Combine like terms: 2p + 15p = 17p 17p = -15p + 15p Combine like terms: -15p + 15p = 0 17p = 0 Divide each side by '17'. p = 0 Simplifying p = 0
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