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Simplifying 3(p + 4) + -4(5p + 2) = 0 Reorder the terms: 3(4 + p) + -4(5p + 2) = 0 (4 * 3 + p * 3) + -4(5p + 2) = 0 (12 + 3p) + -4(5p + 2) = 0 Reorder the terms: 12 + 3p + -4(2 + 5p) = 0 12 + 3p + (2 * -4 + 5p * -4) = 0 12 + 3p + (-8 + -20p) = 0 Reorder the terms: 12 + -8 + 3p + -20p = 0 Combine like terms: 12 + -8 = 4 4 + 3p + -20p = 0 Combine like terms: 3p + -20p = -17p 4 + -17p = 0 Solving 4 + -17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -17p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -17p = 0 + -4 -17p = 0 + -4 Combine like terms: 0 + -4 = -4 -17p = -4 Divide each side by '-17'. p = 0.2352941176 Simplifying p = 0.2352941176
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