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Simplifying 3(p + 2) + -3 = 7 + -1p Reorder the terms: 3(2 + p) + -3 = 7 + -1p (2 * 3 + p * 3) + -3 = 7 + -1p (6 + 3p) + -3 = 7 + -1p Reorder the terms: 6 + -3 + 3p = 7 + -1p Combine like terms: 6 + -3 = 3 3 + 3p = 7 + -1p Solving 3 + 3p = 7 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 3 + 3p + p = 7 + -1p + p Combine like terms: 3p + p = 4p 3 + 4p = 7 + -1p + p Combine like terms: -1p + p = 0 3 + 4p = 7 + 0 3 + 4p = 7 Add '-3' to each side of the equation. 3 + -3 + 4p = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 7 + -3 4p = 7 + -3 Combine like terms: 7 + -3 = 4 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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