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Simplifying 7 + 3p + -4 = 9p + 10 + -5p Reorder the terms: 7 + -4 + 3p = 9p + 10 + -5p Combine like terms: 7 + -4 = 3 3 + 3p = 9p + 10 + -5p Reorder the terms: 3 + 3p = 10 + 9p + -5p Combine like terms: 9p + -5p = 4p 3 + 3p = 10 + 4p Solving 3 + 3p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 3 + 3p + -4p = 10 + 4p + -4p Combine like terms: 3p + -4p = -1p 3 + -1p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + -1p = 10 + 0 3 + -1p = 10 Add '-3' to each side of the equation. 3 + -3 + -1p = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 10 + -3 -1p = 10 + -3 Combine like terms: 10 + -3 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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