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Simplifying 35 + -8p = -5(1 + 6p) + 2p 35 + -8p = (1 * -5 + 6p * -5) + 2p 35 + -8p = (-5 + -30p) + 2p Combine like terms: -30p + 2p = -28p 35 + -8p = -5 + -28p Solving 35 + -8p = -5 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 35 + -8p + 28p = -5 + -28p + 28p Combine like terms: -8p + 28p = 20p 35 + 20p = -5 + -28p + 28p Combine like terms: -28p + 28p = 0 35 + 20p = -5 + 0 35 + 20p = -5 Add '-35' to each side of the equation. 35 + -35 + 20p = -5 + -35 Combine like terms: 35 + -35 = 0 0 + 20p = -5 + -35 20p = -5 + -35 Combine like terms: -5 + -35 = -40 20p = -40 Divide each side by '20'. p = -2 Simplifying p = -2
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