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