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Simplifying -5(p + 4) = -1(p + -8) Reorder the terms: -5(4 + p) = -1(p + -8) (4 * -5 + p * -5) = -1(p + -8) (-20 + -5p) = -1(p + -8) Reorder the terms: -20 + -5p = -1(-8 + p) -20 + -5p = (-8 * -1 + p * -1) -20 + -5p = (8 + -1p) Solving -20 + -5p = 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. -20 + -5p + p = 8 + -1p + p Combine like terms: -5p + p = -4p -20 + -4p = 8 + -1p + p Combine like terms: -1p + p = 0 -20 + -4p = 8 + 0 -20 + -4p = 8 Add '20' to each side of the equation. -20 + 20 + -4p = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -4p = 8 + 20 -4p = 8 + 20 Combine like terms: 8 + 20 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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