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Simplifying 2p + -1(p + -5) = 2(p + -3) Reorder the terms: 2p + -1(-5 + p) = 2(p + -3) 2p + (-5 * -1 + p * -1) = 2(p + -3) 2p + (5 + -1p) = 2(p + -3) Reorder the terms: 5 + 2p + -1p = 2(p + -3) Combine like terms: 2p + -1p = 1p 5 + 1p = 2(p + -3) Reorder the terms: 5 + 1p = 2(-3 + p) 5 + 1p = (-3 * 2 + p * 2) 5 + 1p = (-6 + 2p) Solving 5 + 1p = -6 + 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 + 1p + -2p = -6 + 2p + -2p Combine like terms: 1p + -2p = -1p 5 + -1p = -6 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + -1p = -6 + 0 5 + -1p = -6 Add '-5' to each side of the equation. 5 + -5 + -1p = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = -6 + -5 -1p = -6 + -5 Combine like terms: -6 + -5 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11
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