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Simplifying 4(3p + -5) = 5(7 + -2p) Reorder the terms: 4(-5 + 3p) = 5(7 + -2p) (-5 * 4 + 3p * 4) = 5(7 + -2p) (-20 + 12p) = 5(7 + -2p) -20 + 12p = (7 * 5 + -2p * 5) -20 + 12p = (35 + -10p) Solving -20 + 12p = 35 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -20 + 12p + 10p = 35 + -10p + 10p Combine like terms: 12p + 10p = 22p -20 + 22p = 35 + -10p + 10p Combine like terms: -10p + 10p = 0 -20 + 22p = 35 + 0 -20 + 22p = 35 Add '20' to each side of the equation. -20 + 20 + 22p = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 22p = 35 + 20 22p = 35 + 20 Combine like terms: 35 + 20 = 55 22p = 55 Divide each side by '22'. p = 2.5 Simplifying p = 2.5
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