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Simplifying 9 + 12p + -1 = 7p + 53 + -4p Reorder the terms: 9 + -1 + 12p = 7p + 53 + -4p Combine like terms: 9 + -1 = 8 8 + 12p = 7p + 53 + -4p Reorder the terms: 8 + 12p = 53 + 7p + -4p Combine like terms: 7p + -4p = 3p 8 + 12p = 53 + 3p Solving 8 + 12p = 53 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + 12p + -3p = 53 + 3p + -3p Combine like terms: 12p + -3p = 9p 8 + 9p = 53 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + 9p = 53 + 0 8 + 9p = 53 Add '-8' to each side of the equation. 8 + -8 + 9p = 53 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = 53 + -8 9p = 53 + -8 Combine like terms: 53 + -8 = 45 9p = 45 Divide each side by '9'. p = 5 Simplifying p = 5
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