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Simplifying 39p + -6 = (7p + 5) + (34p + -19) Reorder the terms: -6 + 39p = (7p + 5) + (34p + -19) Reorder the terms: -6 + 39p = (5 + 7p) + (34p + -19) Remove parenthesis around (5 + 7p) -6 + 39p = 5 + 7p + (34p + -19) Reorder the terms: -6 + 39p = 5 + 7p + (-19 + 34p) Remove parenthesis around (-19 + 34p) -6 + 39p = 5 + 7p + -19 + 34p Reorder the terms: -6 + 39p = 5 + -19 + 7p + 34p Combine like terms: 5 + -19 = -14 -6 + 39p = -14 + 7p + 34p Combine like terms: 7p + 34p = 41p -6 + 39p = -14 + 41p Solving -6 + 39p = -14 + 41p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41p' to each side of the equation. -6 + 39p + -41p = -14 + 41p + -41p Combine like terms: 39p + -41p = -2p -6 + -2p = -14 + 41p + -41p Combine like terms: 41p + -41p = 0 -6 + -2p = -14 + 0 -6 + -2p = -14 Add '6' to each side of the equation. -6 + 6 + -2p = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -2p = -14 + 6 -2p = -14 + 6 Combine like terms: -14 + 6 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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