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Simplifying 4(3p + 4) + 3(4p + -2) = 0 Reorder the terms: 4(4 + 3p) + 3(4p + -2) = 0 (4 * 4 + 3p * 4) + 3(4p + -2) = 0 (16 + 12p) + 3(4p + -2) = 0 Reorder the terms: 16 + 12p + 3(-2 + 4p) = 0 16 + 12p + (-2 * 3 + 4p * 3) = 0 16 + 12p + (-6 + 12p) = 0 Reorder the terms: 16 + -6 + 12p + 12p = 0 Combine like terms: 16 + -6 = 10 10 + 12p + 12p = 0 Combine like terms: 12p + 12p = 24p 10 + 24p = 0 Solving 10 + 24p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 24p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 24p = 0 + -10 24p = 0 + -10 Combine like terms: 0 + -10 = -10 24p = -10 Divide each side by '24'. p = -0.4166666667 Simplifying p = -0.4166666667
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