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Simplifying 7 + 3p + -6 = 9p + 9 + -2p Reorder the terms: 7 + -6 + 3p = 9p + 9 + -2p Combine like terms: 7 + -6 = 1 1 + 3p = 9p + 9 + -2p Reorder the terms: 1 + 3p = 9 + 9p + -2p Combine like terms: 9p + -2p = 7p 1 + 3p = 9 + 7p Solving 1 + 3p = 9 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 1 + 3p + -7p = 9 + 7p + -7p Combine like terms: 3p + -7p = -4p 1 + -4p = 9 + 7p + -7p Combine like terms: 7p + -7p = 0 1 + -4p = 9 + 0 1 + -4p = 9 Add '-1' to each side of the equation. 1 + -1 + -4p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 9 + -1 -4p = 9 + -1 Combine like terms: 9 + -1 = 8 -4p = 8 Divide each side by '-4'. p = -2 Simplifying p = -2
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