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Simplifying -4(p + 4) = -1(p + -8) Reorder the terms: -4(4 + p) = -1(p + -8) (4 * -4 + p * -4) = -1(p + -8) (-16 + -4p) = -1(p + -8) Reorder the terms: -16 + -4p = -1(-8 + p) -16 + -4p = (-8 * -1 + p * -1) -16 + -4p = (8 + -1p) Solving -16 + -4p = 8 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -16 + -4p + p = 8 + -1p + p Combine like terms: -4p + p = -3p -16 + -3p = 8 + -1p + p Combine like terms: -1p + p = 0 -16 + -3p = 8 + 0 -16 + -3p = 8 Add '16' to each side of the equation. -16 + 16 + -3p = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -3p = 8 + 16 -3p = 8 + 16 Combine like terms: 8 + 16 = 24 -3p = 24 Divide each side by '-3'. p = -8 Simplifying p = -8
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