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Simplifying 6 + 10p + -3 = 9p + 75 + -7p Reorder the terms: 6 + -3 + 10p = 9p + 75 + -7p Combine like terms: 6 + -3 = 3 3 + 10p = 9p + 75 + -7p Reorder the terms: 3 + 10p = 75 + 9p + -7p Combine like terms: 9p + -7p = 2p 3 + 10p = 75 + 2p Solving 3 + 10p = 75 + 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. 3 + 10p + -2p = 75 + 2p + -2p Combine like terms: 10p + -2p = 8p 3 + 8p = 75 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 8p = 75 + 0 3 + 8p = 75 Add '-3' to each side of the equation. 3 + -3 + 8p = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 8p = 75 + -3 8p = 75 + -3 Combine like terms: 75 + -3 = 72 8p = 72 Divide each side by '8'. p = 9 Simplifying p = 9
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