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Simplifying 3(5p + -9) + -4(p + 7) = 0 Reorder the terms: 3(-9 + 5p) + -4(p + 7) = 0 (-9 * 3 + 5p * 3) + -4(p + 7) = 0 (-27 + 15p) + -4(p + 7) = 0 Reorder the terms: -27 + 15p + -4(7 + p) = 0 -27 + 15p + (7 * -4 + p * -4) = 0 -27 + 15p + (-28 + -4p) = 0 Reorder the terms: -27 + -28 + 15p + -4p = 0 Combine like terms: -27 + -28 = -55 -55 + 15p + -4p = 0 Combine like terms: 15p + -4p = 11p -55 + 11p = 0 Solving -55 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 11p = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 11p = 0 + 55 11p = 0 + 55 Combine like terms: 0 + 55 = 55 11p = 55 Divide each side by '11'. p = 5 Simplifying p = 5
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