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Simplifying 7p + -4 = 12 + 2(p + 7) Reorder the terms: -4 + 7p = 12 + 2(p + 7) Reorder the terms: -4 + 7p = 12 + 2(7 + p) -4 + 7p = 12 + (7 * 2 + p * 2) -4 + 7p = 12 + (14 + 2p) Combine like terms: 12 + 14 = 26 -4 + 7p = 26 + 2p Solving -4 + 7p = 26 + 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. -4 + 7p + -2p = 26 + 2p + -2p Combine like terms: 7p + -2p = 5p -4 + 5p = 26 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 5p = 26 + 0 -4 + 5p = 26 Add '4' to each side of the equation. -4 + 4 + 5p = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = 26 + 4 5p = 26 + 4 Combine like terms: 26 + 4 = 30 5p = 30 Divide each side by '5'. p = 6 Simplifying p = 6
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