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Simplifying 2(3p + 4) + 3(4p + 1) = 0 Reorder the terms: 2(4 + 3p) + 3(4p + 1) = 0 (4 * 2 + 3p * 2) + 3(4p + 1) = 0 (8 + 6p) + 3(4p + 1) = 0 Reorder the terms: 8 + 6p + 3(1 + 4p) = 0 8 + 6p + (1 * 3 + 4p * 3) = 0 8 + 6p + (3 + 12p) = 0 Reorder the terms: 8 + 3 + 6p + 12p = 0 Combine like terms: 8 + 3 = 11 11 + 6p + 12p = 0 Combine like terms: 6p + 12p = 18p 11 + 18p = 0 Solving 11 + 18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 18p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 18p = 0 + -11 18p = 0 + -11 Combine like terms: 0 + -11 = -11 18p = -11 Divide each side by '18'. p = -0.6111111111 Simplifying p = -0.6111111111
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