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Simplifying -8(3 + 8p) + 5 = -2p + -19 (3 * -8 + 8p * -8) + 5 = -2p + -19 (-24 + -64p) + 5 = -2p + -19 Reorder the terms: -24 + 5 + -64p = -2p + -19 Combine like terms: -24 + 5 = -19 -19 + -64p = -2p + -19 Reorder the terms: -19 + -64p = -19 + -2p Add '19' to each side of the equation. -19 + 19 + -64p = -19 + 19 + -2p Combine like terms: -19 + 19 = 0 0 + -64p = -19 + 19 + -2p -64p = -19 + 19 + -2p Combine like terms: -19 + 19 = 0 -64p = 0 + -2p -64p = -2p Solving -64p = -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. -64p + 2p = -2p + 2p Combine like terms: -64p + 2p = -62p -62p = -2p + 2p Combine like terms: -2p + 2p = 0 -62p = 0 Divide each side by '-62'. p = 0 Simplifying p = 0
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