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Simplifying 2p + -35 = -7(6p + 5) Reorder the terms: -35 + 2p = -7(6p + 5) Reorder the terms: -35 + 2p = -7(5 + 6p) -35 + 2p = (5 * -7 + 6p * -7) -35 + 2p = (-35 + -42p) Add '35' to each side of the equation. -35 + 35 + 2p = -35 + 35 + -42p Combine like terms: -35 + 35 = 0 0 + 2p = -35 + 35 + -42p 2p = -35 + 35 + -42p Combine like terms: -35 + 35 = 0 2p = 0 + -42p 2p = -42p Solving 2p = -42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42p' to each side of the equation. 2p + 42p = -42p + 42p Combine like terms: 2p + 42p = 44p 44p = -42p + 42p Combine like terms: -42p + 42p = 0 44p = 0 Divide each side by '44'. p = 0 Simplifying p = 0
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