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Simplifying -7(-5 + -2p) = 4p + -5 (-5 * -7 + -2p * -7) = 4p + -5 (35 + 14p) = 4p + -5 Reorder the terms: 35 + 14p = -5 + 4p Solving 35 + 14p = -5 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 35 + 14p + -4p = -5 + 4p + -4p Combine like terms: 14p + -4p = 10p 35 + 10p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 35 + 10p = -5 + 0 35 + 10p = -5 Add '-35' to each side of the equation. 35 + -35 + 10p = -5 + -35 Combine like terms: 35 + -35 = 0 0 + 10p = -5 + -35 10p = -5 + -35 Combine like terms: -5 + -35 = -40 10p = -40 Divide each side by '10'. p = -4 Simplifying p = -4
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