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Simplifying 7(2p + -5) = 4(1p + -5) Reorder the terms: 7(-5 + 2p) = 4(1p + -5) (-5 * 7 + 2p * 7) = 4(1p + -5) (-35 + 14p) = 4(1p + -5) Reorder the terms: -35 + 14p = 4(-5 + 1p) -35 + 14p = (-5 * 4 + 1p * 4) -35 + 14p = (-20 + 4p) Solving -35 + 14p = -20 + 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 = -20 + 4p + -4p Combine like terms: 14p + -4p = 10p -35 + 10p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -35 + 10p = -20 + 0 -35 + 10p = -20 Add '35' to each side of the equation. -35 + 35 + 10p = -20 + 35 Combine like terms: -35 + 35 = 0 0 + 10p = -20 + 35 10p = -20 + 35 Combine like terms: -20 + 35 = 15 10p = 15 Divide each side by '10'. p = 1.5 Simplifying p = 1.5
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