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Simplifying 5(4p + -9) = 3(3p + 7) Reorder the terms: 5(-9 + 4p) = 3(3p + 7) (-9 * 5 + 4p * 5) = 3(3p + 7) (-45 + 20p) = 3(3p + 7) Reorder the terms: -45 + 20p = 3(7 + 3p) -45 + 20p = (7 * 3 + 3p * 3) -45 + 20p = (21 + 9p) Solving -45 + 20p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -45 + 20p + -9p = 21 + 9p + -9p Combine like terms: 20p + -9p = 11p -45 + 11p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -45 + 11p = 21 + 0 -45 + 11p = 21 Add '45' to each side of the equation. -45 + 45 + 11p = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 11p = 21 + 45 11p = 21 + 45 Combine like terms: 21 + 45 = 66 11p = 66 Divide each side by '11'. p = 6 Simplifying p = 6
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