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Simplifying 5p + 2p + -4 = 2p + 3p + -6 Reorder the terms: -4 + 5p + 2p = 2p + 3p + -6 Combine like terms: 5p + 2p = 7p -4 + 7p = 2p + 3p + -6 Reorder the terms: -4 + 7p = -6 + 2p + 3p Combine like terms: 2p + 3p = 5p -4 + 7p = -6 + 5p Solving -4 + 7p = -6 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -4 + 7p + -5p = -6 + 5p + -5p Combine like terms: 7p + -5p = 2p -4 + 2p = -6 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 2p = -6 + 0 -4 + 2p = -6 Add '4' to each side of the equation. -4 + 4 + 2p = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -6 + 4 2p = -6 + 4 Combine like terms: -6 + 4 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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