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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 = -23p 39 + -5p = 3 + -23p Solving 39 + -5p = 3 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 39 + -5p + 23p = 3 + -23p + 23p Combine like terms: -5p + 23p = 18p 39 + 18p = 3 + -23p + 23p Combine like terms: -23p + 23p = 0 39 + 18p = 3 + 0 39 + 18p = 3 Add '-39' to each side of the equation. 39 + -39 + 18p = 3 + -39 Combine like terms: 39 + -39 = 0 0 + 18p = 3 + -39 18p = 3 + -39 Combine like terms: 3 + -39 = -36 18p = -36 Divide each side by '18'. p = -2 Simplifying p = -2
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