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Simplifying 2(p + -4) + 4 = 7 + -1(p + 2) Reorder the terms: 2(-4 + p) + 4 = 7 + -1(p + 2) (-4 * 2 + p * 2) + 4 = 7 + -1(p + 2) (-8 + 2p) + 4 = 7 + -1(p + 2) Reorder the terms: -8 + 4 + 2p = 7 + -1(p + 2) Combine like terms: -8 + 4 = -4 -4 + 2p = 7 + -1(p + 2) Reorder the terms: -4 + 2p = 7 + -1(2 + p) -4 + 2p = 7 + (2 * -1 + p * -1) -4 + 2p = 7 + (-2 + -1p) Combine like terms: 7 + -2 = 5 -4 + 2p = 5 + -1p Solving -4 + 2p = 5 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -4 + 2p + p = 5 + -1p + p Combine like terms: 2p + p = 3p -4 + 3p = 5 + -1p + p Combine like terms: -1p + p = 0 -4 + 3p = 5 + 0 -4 + 3p = 5 Add '4' to each side of the equation. -4 + 4 + 3p = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 5 + 4 3p = 5 + 4 Combine like terms: 5 + 4 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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