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Simplifying 4(2p + 4q + 6) = 0 Reorder the terms: 4(6 + 2p + 4q) = 0 (6 * 4 + 2p * 4 + 4q * 4) = 0 (24 + 8p + 16q) = 0 Solving 24 + 8p + 16q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 8p + -24 + 16q = 0 + -24 Reorder the terms: 24 + -24 + 8p + 16q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8p + 16q = 0 + -24 8p + 16q = 0 + -24 Combine like terms: 0 + -24 = -24 8p + 16q = -24 Add '-16q' to each side of the equation. 8p + 16q + -16q = -24 + -16q Combine like terms: 16q + -16q = 0 8p + 0 = -24 + -16q 8p = -24 + -16q Divide each side by '8'. p = -3 + -2q Simplifying p = -3 + -2q
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