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