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Simplifying 7p + 7 = 2(p + 1) Reorder the terms: 7 + 7p = 2(p + 1) Reorder the terms: 7 + 7p = 2(1 + p) 7 + 7p = (1 * 2 + p * 2) 7 + 7p = (2 + 2p) Solving 7 + 7p = 2 + 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. 7 + 7p + -2p = 2 + 2p + -2p Combine like terms: 7p + -2p = 5p 7 + 5p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 5p = 2 + 0 7 + 5p = 2 Add '-7' to each side of the equation. 7 + -7 + 5p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = 2 + -7 5p = 2 + -7 Combine like terms: 2 + -7 = -5 5p = -5 Divide each side by '5'. p = -1 Simplifying p = -1
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