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Simplifying 3x(p + 6) = 0 Reorder the terms: 3x(6 + p) = 0 (6 * 3x + p * 3x) = 0 Reorder the terms: (3px + 18x) = 0 (3px + 18x) = 0 Solving 3px + 18x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18x' to each side of the equation. 3px + 18x + -18x = 0 + -18x Combine like terms: 18x + -18x = 0 3px + 0 = 0 + -18x 3px = 0 + -18x Remove the zero: 3px = -18x Divide each side by '3x'. p = -6 Simplifying p = -6
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