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Simplifying 7p + 12 = 2(p + 6) Reorder the terms: 12 + 7p = 2(p + 6) Reorder the terms: 12 + 7p = 2(6 + p) 12 + 7p = (6 * 2 + p * 2) 12 + 7p = (12 + 2p) Add '-12' to each side of the equation. 12 + -12 + 7p = 12 + -12 + 2p Combine like terms: 12 + -12 = 0 0 + 7p = 12 + -12 + 2p 7p = 12 + -12 + 2p Combine like terms: 12 + -12 = 0 7p = 0 + 2p 7p = 2p Solving 7p = 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. 7p + -2p = 2p + -2p Combine like terms: 7p + -2p = 5p 5p = 2p + -2p Combine like terms: 2p + -2p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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