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