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Simplifying 3(4p + -5) + -4(p + 9) = 0 Reorder the terms: 3(-5 + 4p) + -4(p + 9) = 0 (-5 * 3 + 4p * 3) + -4(p + 9) = 0 (-15 + 12p) + -4(p + 9) = 0 Reorder the terms: -15 + 12p + -4(9 + p) = 0 -15 + 12p + (9 * -4 + p * -4) = 0 -15 + 12p + (-36 + -4p) = 0 Reorder the terms: -15 + -36 + 12p + -4p = 0 Combine like terms: -15 + -36 = -51 -51 + 12p + -4p = 0 Combine like terms: 12p + -4p = 8p -51 + 8p = 0 Solving -51 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 8p = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 8p = 0 + 51 8p = 0 + 51 Combine like terms: 0 + 51 = 51 8p = 51 Divide each side by '8'. p = 6.375 Simplifying p = 6.375
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