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Simplifying 9 + 10p + -6 = 8p + 51 + -4p Reorder the terms: 9 + -6 + 10p = 8p + 51 + -4p Combine like terms: 9 + -6 = 3 3 + 10p = 8p + 51 + -4p Reorder the terms: 3 + 10p = 51 + 8p + -4p Combine like terms: 8p + -4p = 4p 3 + 10p = 51 + 4p Solving 3 + 10p = 51 + 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 + 10p + -4p = 51 + 4p + -4p Combine like terms: 10p + -4p = 6p 3 + 6p = 51 + 4p + -4p Combine like terms: 4p + -4p = 0 3 + 6p = 51 + 0 3 + 6p = 51 Add '-3' to each side of the equation. 3 + -3 + 6p = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6p = 51 + -3 6p = 51 + -3 Combine like terms: 51 + -3 = 48 6p = 48 Divide each side by '6'. p = 8 Simplifying p = 8
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