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Simplifying 3(p + 4q + -12) = 0 Reorder the terms: 3(-12 + p + 4q) = 0 (-12 * 3 + p * 3 + 4q * 3) = 0 (-36 + 3p + 12q) = 0 Solving -36 + 3p + 12q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 3p + 36 + 12q = 0 + 36 Reorder the terms: -36 + 36 + 3p + 12q = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 3p + 12q = 0 + 36 3p + 12q = 0 + 36 Combine like terms: 0 + 36 = 36 3p + 12q = 36 Add '-12q' to each side of the equation. 3p + 12q + -12q = 36 + -12q Combine like terms: 12q + -12q = 0 3p + 0 = 36 + -12q 3p = 36 + -12q Divide each side by '3'. p = 12 + -4q Simplifying p = 12 + -4q
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