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