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Simplifying 3(4p + 3) + -4(p + 5) = 0 Reorder the terms: 3(3 + 4p) + -4(p + 5) = 0 (3 * 3 + 4p * 3) + -4(p + 5) = 0 (9 + 12p) + -4(p + 5) = 0 Reorder the terms: 9 + 12p + -4(5 + p) = 0 9 + 12p + (5 * -4 + p * -4) = 0 9 + 12p + (-20 + -4p) = 0 Reorder the terms: 9 + -20 + 12p + -4p = 0 Combine like terms: 9 + -20 = -11 -11 + 12p + -4p = 0 Combine like terms: 12p + -4p = 8p -11 + 8p = 0 Solving -11 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8p = 0 + 11 8p = 0 + 11 Combine like terms: 0 + 11 = 11 8p = 11 Divide each side by '8'. p = 1.375 Simplifying p = 1.375
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