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Simplifying 6 + 12p + -5 = 9p + 50 + -4p Reorder the terms: 6 + -5 + 12p = 9p + 50 + -4p Combine like terms: 6 + -5 = 1 1 + 12p = 9p + 50 + -4p Reorder the terms: 1 + 12p = 50 + 9p + -4p Combine like terms: 9p + -4p = 5p 1 + 12p = 50 + 5p Solving 1 + 12p = 50 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 1 + 12p + -5p = 50 + 5p + -5p Combine like terms: 12p + -5p = 7p 1 + 7p = 50 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + 7p = 50 + 0 1 + 7p = 50 Add '-1' to each side of the equation. 1 + -1 + 7p = 50 + -1 Combine like terms: 1 + -1 = 0 0 + 7p = 50 + -1 7p = 50 + -1 Combine like terms: 50 + -1 = 49 7p = 49 Divide each side by '7'. p = 7 Simplifying p = 7
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