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Simplifying 3 + 13p + -2 = 9p + 50 + -3p Reorder the terms: 3 + -2 + 13p = 9p + 50 + -3p Combine like terms: 3 + -2 = 1 1 + 13p = 9p + 50 + -3p Reorder the terms: 1 + 13p = 50 + 9p + -3p Combine like terms: 9p + -3p = 6p 1 + 13p = 50 + 6p Solving 1 + 13p = 50 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 1 + 13p + -6p = 50 + 6p + -6p Combine like terms: 13p + -6p = 7p 1 + 7p = 50 + 6p + -6p Combine like terms: 6p + -6p = 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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