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Simplifying 3 + 15p + -2 = 9p + 71 + -4p Reorder the terms: 3 + -2 + 15p = 9p + 71 + -4p Combine like terms: 3 + -2 = 1 1 + 15p = 9p + 71 + -4p Reorder the terms: 1 + 15p = 71 + 9p + -4p Combine like terms: 9p + -4p = 5p 1 + 15p = 71 + 5p Solving 1 + 15p = 71 + 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 + 15p + -5p = 71 + 5p + -5p Combine like terms: 15p + -5p = 10p 1 + 10p = 71 + 5p + -5p Combine like terms: 5p + -5p = 0 1 + 10p = 71 + 0 1 + 10p = 71 Add '-1' to each side of the equation. 1 + -1 + 10p = 71 + -1 Combine like terms: 1 + -1 = 0 0 + 10p = 71 + -1 10p = 71 + -1 Combine like terms: 71 + -1 = 70 10p = 70 Divide each side by '10'. p = 7 Simplifying p = 7
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