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Simplifying 7(2p + -5) = 35 + 4p Reorder the terms: 7(-5 + 2p) = 35 + 4p (-5 * 7 + 2p * 7) = 35 + 4p (-35 + 14p) = 35 + 4p Solving -35 + 14p = 35 + 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 = 35 + 4p + -4p Combine like terms: 14p + -4p = 10p -35 + 10p = 35 + 4p + -4p Combine like terms: 4p + -4p = 0 -35 + 10p = 35 + 0 -35 + 10p = 35 Add '35' to each side of the equation. -35 + 35 + 10p = 35 + 35 Combine like terms: -35 + 35 = 0 0 + 10p = 35 + 35 10p = 35 + 35 Combine like terms: 35 + 35 = 70 10p = 70 Divide each side by '10'. p = 7 Simplifying p = 7
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