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Simplifying p + -4 + -1(2p + -5) = 4 + 2(p + 3) Reorder the terms: p + -4 + -1(-5 + 2p) = 4 + 2(p + 3) p + -4 + (-5 * -1 + 2p * -1) = 4 + 2(p + 3) p + -4 + (5 + -2p) = 4 + 2(p + 3) Reorder the terms: -4 + 5 + p + -2p = 4 + 2(p + 3) Combine like terms: -4 + 5 = 1 1 + p + -2p = 4 + 2(p + 3) Combine like terms: p + -2p = -1p 1 + -1p = 4 + 2(p + 3) Reorder the terms: 1 + -1p = 4 + 2(3 + p) 1 + -1p = 4 + (3 * 2 + p * 2) 1 + -1p = 4 + (6 + 2p) Combine like terms: 4 + 6 = 10 1 + -1p = 10 + 2p Solving 1 + -1p = 10 + 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. 1 + -1p + -2p = 10 + 2p + -2p Combine like terms: -1p + -2p = -3p 1 + -3p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + -3p = 10 + 0 1 + -3p = 10 Add '-1' to each side of the equation. 1 + -1 + -3p = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = 10 + -1 -3p = 10 + -1 Combine like terms: 10 + -1 = 9 -3p = 9 Divide each side by '-3'. p = -3 Simplifying p = -3
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