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Simplifying 32 = 8(7p + -4) + 8p Reorder the terms: 32 = 8(-4 + 7p) + 8p 32 = (-4 * 8 + 7p * 8) + 8p 32 = (-32 + 56p) + 8p Combine like terms: 56p + 8p = 64p 32 = -32 + 64p Solving 32 = -32 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. 32 + -64p = -32 + 64p + -64p Combine like terms: 64p + -64p = 0 32 + -64p = -32 + 0 32 + -64p = -32 Add '-32' to each side of the equation. 32 + -32 + -64p = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -64p = -32 + -32 -64p = -32 + -32 Combine like terms: -32 + -32 = -64 -64p = -64 Divide each side by '-64'. p = 1 Simplifying p = 1
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