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Simplifying 3(4p + 3) + 4(p + -3) = 0 Reorder the terms: 3(3 + 4p) + 4(p + -3) = 0 (3 * 3 + 4p * 3) + 4(p + -3) = 0 (9 + 12p) + 4(p + -3) = 0 Reorder the terms: 9 + 12p + 4(-3 + p) = 0 9 + 12p + (-3 * 4 + p * 4) = 0 9 + 12p + (-12 + 4p) = 0 Reorder the terms: 9 + -12 + 12p + 4p = 0 Combine like terms: 9 + -12 = -3 -3 + 12p + 4p = 0 Combine like terms: 12p + 4p = 16p -3 + 16p = 0 Solving -3 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 16p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 16p = 0 + 3 16p = 0 + 3 Combine like terms: 0 + 3 = 3 16p = 3 Divide each side by '16'. p = 0.1875 Simplifying p = 0.1875
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