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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 = 30 10p = 30 Divide each side by '10'. p = 3 Simplifying p = 3
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