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Simplifying 3(p + 4 + 6q) = 0 Reorder the terms: 3(4 + p + 6q) = 0 (4 * 3 + p * 3 + 6q * 3) = 0 (12 + 3p + 18q) = 0 Solving 12 + 3p + 18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3p + -12 + 18q = 0 + -12 Reorder the terms: 12 + -12 + 3p + 18q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3p + 18q = 0 + -12 3p + 18q = 0 + -12 Combine like terms: 0 + -12 = -12 3p + 18q = -12 Add '-18q' to each side of the equation. 3p + 18q + -18q = -12 + -18q Combine like terms: 18q + -18q = 0 3p + 0 = -12 + -18q 3p = -12 + -18q Divide each side by '3'. p = -4 + -6q Simplifying p = -4 + -6q
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