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Simplifying -4(2p + 6) + 8 = -25 + -5p Reorder the terms: -4(6 + 2p) + 8 = -25 + -5p (6 * -4 + 2p * -4) + 8 = -25 + -5p (-24 + -8p) + 8 = -25 + -5p Reorder the terms: -24 + 8 + -8p = -25 + -5p Combine like terms: -24 + 8 = -16 -16 + -8p = -25 + -5p Solving -16 + -8p = -25 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -16 + -8p + 5p = -25 + -5p + 5p Combine like terms: -8p + 5p = -3p -16 + -3p = -25 + -5p + 5p Combine like terms: -5p + 5p = 0 -16 + -3p = -25 + 0 -16 + -3p = -25 Add '16' to each side of the equation. -16 + 16 + -3p = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -3p = -25 + 16 -3p = -25 + 16 Combine like terms: -25 + 16 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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