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