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Simplifying -8(p + 4) = -4(p + -5) Reorder the terms: -8(4 + p) = -4(p + -5) (4 * -8 + p * -8) = -4(p + -5) (-32 + -8p) = -4(p + -5) Reorder the terms: -32 + -8p = -4(-5 + p) -32 + -8p = (-5 * -4 + p * -4) -32 + -8p = (20 + -4p) Solving -32 + -8p = 20 + -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. -32 + -8p + 4p = 20 + -4p + 4p Combine like terms: -8p + 4p = -4p -32 + -4p = 20 + -4p + 4p Combine like terms: -4p + 4p = 0 -32 + -4p = 20 + 0 -32 + -4p = 20 Add '32' to each side of the equation. -32 + 32 + -4p = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -4p = 20 + 32 -4p = 20 + 32 Combine like terms: 20 + 32 = 52 -4p = 52 Divide each side by '-4'. p = -13 Simplifying p = -13
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