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Simplifying -200 = 2p + 6(5p + 4) Reorder the terms: -200 = 2p + 6(4 + 5p) -200 = 2p + (4 * 6 + 5p * 6) -200 = 2p + (24 + 30p) Reorder the terms: -200 = 24 + 2p + 30p Combine like terms: 2p + 30p = 32p -200 = 24 + 32p Solving -200 = 24 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -200 + -32p = 24 + 32p + -32p Combine like terms: 32p + -32p = 0 -200 + -32p = 24 + 0 -200 + -32p = 24 Add '200' to each side of the equation. -200 + 200 + -32p = 24 + 200 Combine like terms: -200 + 200 = 0 0 + -32p = 24 + 200 -32p = 24 + 200 Combine like terms: 24 + 200 = 224 -32p = 224 Divide each side by '-32'. p = -7 Simplifying p = -7
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