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Simplifying -112 = -4(4p + 8) Reorder the terms: -112 = -4(8 + 4p) -112 = (8 * -4 + 4p * -4) -112 = (-32 + -16p) Solving -112 = -32 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -112 + 16p = -32 + -16p + 16p Combine like terms: -16p + 16p = 0 -112 + 16p = -32 + 0 -112 + 16p = -32 Add '112' to each side of the equation. -112 + 112 + 16p = -32 + 112 Combine like terms: -112 + 112 = 0 0 + 16p = -32 + 112 16p = -32 + 112 Combine like terms: -32 + 112 = 80 16p = 80 Divide each side by '16'. p = 5 Simplifying p = 5
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