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Simplifying (3p + 4) + 3(4p + 1) = 0 Reorder the terms: (4 + 3p) + 3(4p + 1) = 0 Remove parenthesis around (4 + 3p) 4 + 3p + 3(4p + 1) = 0 Reorder the terms: 4 + 3p + 3(1 + 4p) = 0 4 + 3p + (1 * 3 + 4p * 3) = 0 4 + 3p + (3 + 12p) = 0 Reorder the terms: 4 + 3 + 3p + 12p = 0 Combine like terms: 4 + 3 = 7 7 + 3p + 12p = 0 Combine like terms: 3p + 12p = 15p 7 + 15p = 0 Solving 7 + 15p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 15p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15p = 0 + -7 15p = 0 + -7 Combine like terms: 0 + -7 = -7 15p = -7 Divide each side by '15'. p = -0.4666666667 Simplifying p = -0.4666666667
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