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Simplifying -5p + 39 = 2p + 3(1 + -7p) Reorder the terms: 39 + -5p = 2p + 3(1 + -7p) 39 + -5p = 2p + (1 * 3 + -7p * 3) 39 + -5p = 2p + (3 + -21p) Reorder the terms: 39 + -5p = 3 + 2p + -21p Combine like terms: 2p + -21p = -19p 39 + -5p = 3 + -19p Solving 39 + -5p = 3 + -19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19p' to each side of the equation. 39 + -5p + 19p = 3 + -19p + 19p Combine like terms: -5p + 19p = 14p 39 + 14p = 3 + -19p + 19p Combine like terms: -19p + 19p = 0 39 + 14p = 3 + 0 39 + 14p = 3 Add '-39' to each side of the equation. 39 + -39 + 14p = 3 + -39 Combine like terms: 39 + -39 = 0 0 + 14p = 3 + -39 14p = 3 + -39 Combine like terms: 3 + -39 = -36 14p = -36 Divide each side by '14'. p = -2.571428571 Simplifying p = -2.571428571
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