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Simplifying 6(p + 6) + 2(p + 4) = 0 Reorder the terms: 6(6 + p) + 2(p + 4) = 0 (6 * 6 + p * 6) + 2(p + 4) = 0 (36 + 6p) + 2(p + 4) = 0 Reorder the terms: 36 + 6p + 2(4 + p) = 0 36 + 6p + (4 * 2 + p * 2) = 0 36 + 6p + (8 + 2p) = 0 Reorder the terms: 36 + 8 + 6p + 2p = 0 Combine like terms: 36 + 8 = 44 44 + 6p + 2p = 0 Combine like terms: 6p + 2p = 8p 44 + 8p = 0 Solving 44 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 8p = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 8p = 0 + -44 8p = 0 + -44 Combine like terms: 0 + -44 = -44 8p = -44 Divide each side by '8'. p = -5.5 Simplifying p = -5.5
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