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Simplifying -7(2p + 4) + -32 = 4(5p + 2) Reorder the terms: -7(4 + 2p) + -32 = 4(5p + 2) (4 * -7 + 2p * -7) + -32 = 4(5p + 2) (-28 + -14p) + -32 = 4(5p + 2) Reorder the terms: -28 + -32 + -14p = 4(5p + 2) Combine like terms: -28 + -32 = -60 -60 + -14p = 4(5p + 2) Reorder the terms: -60 + -14p = 4(2 + 5p) -60 + -14p = (2 * 4 + 5p * 4) -60 + -14p = (8 + 20p) Solving -60 + -14p = 8 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -60 + -14p + -20p = 8 + 20p + -20p Combine like terms: -14p + -20p = -34p -60 + -34p = 8 + 20p + -20p Combine like terms: 20p + -20p = 0 -60 + -34p = 8 + 0 -60 + -34p = 8 Add '60' to each side of the equation. -60 + 60 + -34p = 8 + 60 Combine like terms: -60 + 60 = 0 0 + -34p = 8 + 60 -34p = 8 + 60 Combine like terms: 8 + 60 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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