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Simplifying -3(4p + -3) + -4(p + -32) = 0 Reorder the terms: -3(-3 + 4p) + -4(p + -32) = 0 (-3 * -3 + 4p * -3) + -4(p + -32) = 0 (9 + -12p) + -4(p + -32) = 0 Reorder the terms: 9 + -12p + -4(-32 + p) = 0 9 + -12p + (-32 * -4 + p * -4) = 0 9 + -12p + (128 + -4p) = 0 Reorder the terms: 9 + 128 + -12p + -4p = 0 Combine like terms: 9 + 128 = 137 137 + -12p + -4p = 0 Combine like terms: -12p + -4p = -16p 137 + -16p = 0 Solving 137 + -16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-137' to each side of the equation. 137 + -137 + -16p = 0 + -137 Combine like terms: 137 + -137 = 0 0 + -16p = 0 + -137 -16p = 0 + -137 Combine like terms: 0 + -137 = -137 -16p = -137 Divide each side by '-16'. p = 8.5625 Simplifying p = 8.5625
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