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Simplifying 4 + 12p + -3 = 7p + 55 + -4p Reorder the terms: 4 + -3 + 12p = 7p + 55 + -4p Combine like terms: 4 + -3 = 1 1 + 12p = 7p + 55 + -4p Reorder the terms: 1 + 12p = 55 + 7p + -4p Combine like terms: 7p + -4p = 3p 1 + 12p = 55 + 3p Solving 1 + 12p = 55 + 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. 1 + 12p + -3p = 55 + 3p + -3p Combine like terms: 12p + -3p = 9p 1 + 9p = 55 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 9p = 55 + 0 1 + 9p = 55 Add '-1' to each side of the equation. 1 + -1 + 9p = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 9p = 55 + -1 9p = 55 + -1 Combine like terms: 55 + -1 = 54 9p = 54 Divide each side by '9'. p = 6 Simplifying p = 6
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