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Simplifying -39 + -2p = -7 + -4(p + 4) Reorder the terms: -39 + -2p = -7 + -4(4 + p) -39 + -2p = -7 + (4 * -4 + p * -4) -39 + -2p = -7 + (-16 + -4p) Combine like terms: -7 + -16 = -23 -39 + -2p = -23 + -4p Solving -39 + -2p = -23 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -39 + -2p + 4p = -23 + -4p + 4p Combine like terms: -2p + 4p = 2p -39 + 2p = -23 + -4p + 4p Combine like terms: -4p + 4p = 0 -39 + 2p = -23 + 0 -39 + 2p = -23 Add '39' to each side of the equation. -39 + 39 + 2p = -23 + 39 Combine like terms: -39 + 39 = 0 0 + 2p = -23 + 39 2p = -23 + 39 Combine like terms: -23 + 39 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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