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Simplifying -144 = 8 + -8(2p + 3) Reorder the terms: -144 = 8 + -8(3 + 2p) -144 = 8 + (3 * -8 + 2p * -8) -144 = 8 + (-24 + -16p) Combine like terms: 8 + -24 = -16 -144 = -16 + -16p Solving -144 = -16 + -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. -144 + 16p = -16 + -16p + 16p Combine like terms: -16p + 16p = 0 -144 + 16p = -16 + 0 -144 + 16p = -16 Add '144' to each side of the equation. -144 + 144 + 16p = -16 + 144 Combine like terms: -144 + 144 = 0 0 + 16p = -16 + 144 16p = -16 + 144 Combine like terms: -16 + 144 = 128 16p = 128 Divide each side by '16'. p = 8 Simplifying p = 8
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