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Simplifying 3 + 10p + -2 = 8p + 55 + -4p Reorder the terms: 3 + -2 + 10p = 8p + 55 + -4p Combine like terms: 3 + -2 = 1 1 + 10p = 8p + 55 + -4p Reorder the terms: 1 + 10p = 55 + 8p + -4p Combine like terms: 8p + -4p = 4p 1 + 10p = 55 + 4p Solving 1 + 10p = 55 + 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. 1 + 10p + -4p = 55 + 4p + -4p Combine like terms: 10p + -4p = 6p 1 + 6p = 55 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 6p = 55 + 0 1 + 6p = 55 Add '-1' to each side of the equation. 1 + -1 + 6p = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 55 + -1 6p = 55 + -1 Combine like terms: 55 + -1 = 54 6p = 54 Divide each side by '6'. p = 9 Simplifying p = 9
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