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Simplifying -2p = 7 + -3(2p + 1) Reorder the terms: -2p = 7 + -3(1 + 2p) -2p = 7 + (1 * -3 + 2p * -3) -2p = 7 + (-3 + -6p) Combine like terms: 7 + -3 = 4 -2p = 4 + -6p Solving -2p = 4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -2p + 6p = 4 + -6p + 6p Combine like terms: -2p + 6p = 4p 4p = 4 + -6p + 6p Combine like terms: -6p + 6p = 0 4p = 4 + 0 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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