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Simplifying 3p + 4(7 + -5p) = -35 + -8p 3p + (7 * 4 + -5p * 4) = -35 + -8p 3p + (28 + -20p) = -35 + -8p Reorder the terms: 28 + 3p + -20p = -35 + -8p Combine like terms: 3p + -20p = -17p 28 + -17p = -35 + -8p Solving 28 + -17p = -35 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 28 + -17p + 8p = -35 + -8p + 8p Combine like terms: -17p + 8p = -9p 28 + -9p = -35 + -8p + 8p Combine like terms: -8p + 8p = 0 28 + -9p = -35 + 0 28 + -9p = -35 Add '-28' to each side of the equation. 28 + -28 + -9p = -35 + -28 Combine like terms: 28 + -28 = 0 0 + -9p = -35 + -28 -9p = -35 + -28 Combine like terms: -35 + -28 = -63 -9p = -63 Divide each side by '-9'. p = 7 Simplifying p = 7
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