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Simplifying -1p + -2p + -4 + 7p = 5 + 2p + -6 Reorder the terms: -4 + -1p + -2p + 7p = 5 + 2p + -6 Combine like terms: -1p + -2p = -3p -4 + -3p + 7p = 5 + 2p + -6 Combine like terms: -3p + 7p = 4p -4 + 4p = 5 + 2p + -6 Reorder the terms: -4 + 4p = 5 + -6 + 2p Combine like terms: 5 + -6 = -1 -4 + 4p = -1 + 2p Solving -4 + 4p = -1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -4 + 4p + -2p = -1 + 2p + -2p Combine like terms: 4p + -2p = 2p -4 + 2p = -1 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 2p = -1 + 0 -4 + 2p = -1 Add '4' to each side of the equation. -4 + 4 + 2p = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -1 + 4 2p = -1 + 4 Combine like terms: -1 + 4 = 3 2p = 3 Divide each side by '2'. p = 1.5 Simplifying p = 1.5
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