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Simplifying 3(3p + 2) + -1 = 7p + 2 + -3p Reorder the terms: 3(2 + 3p) + -1 = 7p + 2 + -3p (2 * 3 + 3p * 3) + -1 = 7p + 2 + -3p (6 + 9p) + -1 = 7p + 2 + -3p Reorder the terms: 6 + -1 + 9p = 7p + 2 + -3p Combine like terms: 6 + -1 = 5 5 + 9p = 7p + 2 + -3p Reorder the terms: 5 + 9p = 2 + 7p + -3p Combine like terms: 7p + -3p = 4p 5 + 9p = 2 + 4p Solving 5 + 9p = 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. 5 + 9p + -4p = 2 + 4p + -4p Combine like terms: 9p + -4p = 5p 5 + 5p = 2 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + 5p = 2 + 0 5 + 5p = 2 Add '-5' to each side of the equation. 5 + -5 + 5p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 5p = 2 + -5 5p = 2 + -5 Combine like terms: 2 + -5 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6
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