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Simplifying 3(p + 7) + 4(2p + -9) = 0 Reorder the terms: 3(7 + p) + 4(2p + -9) = 0 (7 * 3 + p * 3) + 4(2p + -9) = 0 (21 + 3p) + 4(2p + -9) = 0 Reorder the terms: 21 + 3p + 4(-9 + 2p) = 0 21 + 3p + (-9 * 4 + 2p * 4) = 0 21 + 3p + (-36 + 8p) = 0 Reorder the terms: 21 + -36 + 3p + 8p = 0 Combine like terms: 21 + -36 = -15 -15 + 3p + 8p = 0 Combine like terms: 3p + 8p = 11p -15 + 11p = 0 Solving -15 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 11p = 0 + 15 11p = 0 + 15 Combine like terms: 0 + 15 = 15 11p = 15 Divide each side by '11'. p = 1.363636364 Simplifying p = 1.363636364
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