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Simplifying 5p + 5(5p + 4) + 2(2p + 2) + -3(3p + 4) = 0 Reorder the terms: 5p + 5(4 + 5p) + 2(2p + 2) + -3(3p + 4) = 0 5p + (4 * 5 + 5p * 5) + 2(2p + 2) + -3(3p + 4) = 0 5p + (20 + 25p) + 2(2p + 2) + -3(3p + 4) = 0 Reorder the terms: 5p + 20 + 25p + 2(2 + 2p) + -3(3p + 4) = 0 5p + 20 + 25p + (2 * 2 + 2p * 2) + -3(3p + 4) = 0 5p + 20 + 25p + (4 + 4p) + -3(3p + 4) = 0 Reorder the terms: 5p + 20 + 25p + 4 + 4p + -3(4 + 3p) = 0 5p + 20 + 25p + 4 + 4p + (4 * -3 + 3p * -3) = 0 5p + 20 + 25p + 4 + 4p + (-12 + -9p) = 0 Reorder the terms: 20 + 4 + -12 + 5p + 25p + 4p + -9p = 0 Combine like terms: 20 + 4 = 24 24 + -12 + 5p + 25p + 4p + -9p = 0 Combine like terms: 24 + -12 = 12 12 + 5p + 25p + 4p + -9p = 0 Combine like terms: 5p + 25p = 30p 12 + 30p + 4p + -9p = 0 Combine like terms: 30p + 4p = 34p 12 + 34p + -9p = 0 Combine like terms: 34p + -9p = 25p 12 + 25p = 0 Solving 12 + 25p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 25p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 25p = 0 + -12 25p = 0 + -12 Combine like terms: 0 + -12 = -12 25p = -12 Divide each side by '25'. p = -0.48 Simplifying p = -0.48
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