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Simplifying 2(7p + 3) + 4(3p + 2) = 0 Reorder the terms: 2(3 + 7p) + 4(3p + 2) = 0 (3 * 2 + 7p * 2) + 4(3p + 2) = 0 (6 + 14p) + 4(3p + 2) = 0 Reorder the terms: 6 + 14p + 4(2 + 3p) = 0 6 + 14p + (2 * 4 + 3p * 4) = 0 6 + 14p + (8 + 12p) = 0 Reorder the terms: 6 + 8 + 14p + 12p = 0 Combine like terms: 6 + 8 = 14 14 + 14p + 12p = 0 Combine like terms: 14p + 12p = 26p 14 + 26p = 0 Solving 14 + 26p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 26p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 26p = 0 + -14 26p = 0 + -14 Combine like terms: 0 + -14 = -14 26p = -14 Divide each side by '26'. p = -0.5384615385 Simplifying p = -0.5384615385
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