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Simplifying 3(p + -5) + -2(7 + -4p) = 0 Reorder the terms: 3(-5 + p) + -2(7 + -4p) = 0 (-5 * 3 + p * 3) + -2(7 + -4p) = 0 (-15 + 3p) + -2(7 + -4p) = 0 -15 + 3p + (7 * -2 + -4p * -2) = 0 -15 + 3p + (-14 + 8p) = 0 Reorder the terms: -15 + -14 + 3p + 8p = 0 Combine like terms: -15 + -14 = -29 -29 + 3p + 8p = 0 Combine like terms: 3p + 8p = 11p -29 + 11p = 0 Solving -29 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 11p = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 11p = 0 + 29 11p = 0 + 29 Combine like terms: 0 + 29 = 29 11p = 29 Divide each side by '11'. p = 2.636363636 Simplifying p = 2.636363636
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