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Simplifying -32 = -3(p + 8) + -8(1 + 8p) Reorder the terms: -32 = -3(8 + p) + -8(1 + 8p) -32 = (8 * -3 + p * -3) + -8(1 + 8p) -32 = (-24 + -3p) + -8(1 + 8p) -32 = -24 + -3p + (1 * -8 + 8p * -8) -32 = -24 + -3p + (-8 + -64p) Reorder the terms: -32 = -24 + -8 + -3p + -64p Combine like terms: -24 + -8 = -32 -32 = -32 + -3p + -64p Combine like terms: -3p + -64p = -67p -32 = -32 + -67p Add '32' to each side of the equation. -32 + 32 = -32 + 32 + -67p Combine like terms: -32 + 32 = 0 0 = -32 + 32 + -67p Combine like terms: -32 + 32 = 0 0 = 0 + -67p 0 = -67p Solving 0 = -67p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '67p' to each side of the equation. 0 + 67p = -67p + 67p Remove the zero: 67p = -67p + 67p Combine like terms: -67p + 67p = 0 67p = 0 Divide each side by '67'. p = 0 Simplifying p = 0
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