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Simplifying -35 + 6p = 1 + -2(p + -2) Reorder the terms: -35 + 6p = 1 + -2(-2 + p) -35 + 6p = 1 + (-2 * -2 + p * -2) -35 + 6p = 1 + (4 + -2p) Combine like terms: 1 + 4 = 5 -35 + 6p = 5 + -2p Solving -35 + 6p = 5 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -35 + 6p + 2p = 5 + -2p + 2p Combine like terms: 6p + 2p = 8p -35 + 8p = 5 + -2p + 2p Combine like terms: -2p + 2p = 0 -35 + 8p = 5 + 0 -35 + 8p = 5 Add '35' to each side of the equation. -35 + 35 + 8p = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 8p = 5 + 35 8p = 5 + 35 Combine like terms: 5 + 35 = 40 8p = 40 Divide each side by '8'. p = 5 Simplifying p = 5
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