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Simplifying 7 + 14p + -5 = 9p + 74 + -7p Reorder the terms: 7 + -5 + 14p = 9p + 74 + -7p Combine like terms: 7 + -5 = 2 2 + 14p = 9p + 74 + -7p Reorder the terms: 2 + 14p = 74 + 9p + -7p Combine like terms: 9p + -7p = 2p 2 + 14p = 74 + 2p Solving 2 + 14p = 74 + 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. 2 + 14p + -2p = 74 + 2p + -2p Combine like terms: 14p + -2p = 12p 2 + 12p = 74 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + 12p = 74 + 0 2 + 12p = 74 Add '-2' to each side of the equation. 2 + -2 + 12p = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = 74 + -2 12p = 74 + -2 Combine like terms: 74 + -2 = 72 12p = 72 Divide each side by '12'. p = 6 Simplifying p = 6
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