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Simplifying 2 + -1(-4p + 7) = 2p + 4 Reorder the terms: 2 + -1(7 + -4p) = 2p + 4 2 + (7 * -1 + -4p * -1) = 2p + 4 2 + (-7 + 4p) = 2p + 4 Combine like terms: 2 + -7 = -5 -5 + 4p = 2p + 4 Reorder the terms: -5 + 4p = 4 + 2p Solving -5 + 4p = 4 + 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. -5 + 4p + -2p = 4 + 2p + -2p Combine like terms: 4p + -2p = 2p -5 + 2p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + 2p = 4 + 0 -5 + 2p = 4 Add '5' to each side of the equation. -5 + 5 + 2p = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 2p = 4 + 5 2p = 4 + 5 Combine like terms: 4 + 5 = 9 2p = 9 Divide each side by '2'. p = 4.5 Simplifying p = 4.5
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