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Simplifying (3p + -2)(q + -7) = 0 Reorder the terms: (-2 + 3p)(q + -7) = 0 Reorder the terms: (-2 + 3p)(-7 + q) = 0 Multiply (-2 + 3p) * (-7 + q) (-2(-7 + q) + 3p * (-7 + q)) = 0 ((-7 * -2 + q * -2) + 3p * (-7 + q)) = 0 ((14 + -2q) + 3p * (-7 + q)) = 0 (14 + -2q + (-7 * 3p + q * 3p)) = 0 (14 + -2q + (-21p + 3pq)) = 0 Reorder the terms: (14 + -21p + 3pq + -2q) = 0 (14 + -21p + 3pq + -2q) = 0 Solving 14 + -21p + 3pq + -2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -21p + 3pq + -14 + -2q = 0 + -14 Reorder the terms: 14 + -14 + -21p + 3pq + -2q = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -21p + 3pq + -2q = 0 + -14 -21p + 3pq + -2q = 0 + -14 Combine like terms: 0 + -14 = -14 -21p + 3pq + -2q = -14 Add '2q' to each side of the equation. -21p + 3pq + -2q + 2q = -14 + 2q Combine like terms: -2q + 2q = 0 -21p + 3pq + 0 = -14 + 2q -21p + 3pq = -14 + 2q Reorder the terms: 14 + -21p + 3pq + -2q = -14 + 2q + 14 + -2q Reorder the terms: 14 + -21p + 3pq + -2q = -14 + 14 + 2q + -2q Combine like terms: -14 + 14 = 0 14 + -21p + 3pq + -2q = 0 + 2q + -2q 14 + -21p + 3pq + -2q = 2q + -2q Combine like terms: 2q + -2q = 0 14 + -21p + 3pq + -2q = 0 The solution to this equation could not be determined.
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