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Simplifying -1(p + -7) = -5 + -3p Reorder the terms: -1(-7 + p) = -5 + -3p (-7 * -1 + p * -1) = -5 + -3p (7 + -1p) = -5 + -3p Solving 7 + -1p = -5 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 7 + -1p + 3p = -5 + -3p + 3p Combine like terms: -1p + 3p = 2p 7 + 2p = -5 + -3p + 3p Combine like terms: -3p + 3p = 0 7 + 2p = -5 + 0 7 + 2p = -5 Add '-7' to each side of the equation. 7 + -7 + 2p = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = -5 + -7 2p = -5 + -7 Combine like terms: -5 + -7 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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