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Simplifying 5(7p + -9) + 10(4 + -2p) = 0 Reorder the terms: 5(-9 + 7p) + 10(4 + -2p) = 0 (-9 * 5 + 7p * 5) + 10(4 + -2p) = 0 (-45 + 35p) + 10(4 + -2p) = 0 -45 + 35p + (4 * 10 + -2p * 10) = 0 -45 + 35p + (40 + -20p) = 0 Reorder the terms: -45 + 40 + 35p + -20p = 0 Combine like terms: -45 + 40 = -5 -5 + 35p + -20p = 0 Combine like terms: 35p + -20p = 15p -5 + 15p = 0 Solving -5 + 15p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 15p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 15p = 0 + 5 15p = 0 + 5 Combine like terms: 0 + 5 = 5 15p = 5 Divide each side by '15'. p = 0.3333333333 Simplifying p = 0.3333333333
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