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Simplifying 8(8p + 8) = 12(9p + -2) Reorder the terms: 8(8 + 8p) = 12(9p + -2) (8 * 8 + 8p * 8) = 12(9p + -2) (64 + 64p) = 12(9p + -2) Reorder the terms: 64 + 64p = 12(-2 + 9p) 64 + 64p = (-2 * 12 + 9p * 12) 64 + 64p = (-24 + 108p) Solving 64 + 64p = -24 + 108p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-108p' to each side of the equation. 64 + 64p + -108p = -24 + 108p + -108p Combine like terms: 64p + -108p = -44p 64 + -44p = -24 + 108p + -108p Combine like terms: 108p + -108p = 0 64 + -44p = -24 + 0 64 + -44p = -24 Add '-64' to each side of the equation. 64 + -64 + -44p = -24 + -64 Combine like terms: 64 + -64 = 0 0 + -44p = -24 + -64 -44p = -24 + -64 Combine like terms: -24 + -64 = -88 -44p = -88 Divide each side by '-44'. p = 2 Simplifying p = 2
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