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Simplifying (3q + 7)(4p + -5) = 0 Reorder the terms: (7 + 3q)(4p + -5) = 0 Reorder the terms: (7 + 3q)(-5 + 4p) = 0 Multiply (7 + 3q) * (-5 + 4p) (7(-5 + 4p) + 3q * (-5 + 4p)) = 0 ((-5 * 7 + 4p * 7) + 3q * (-5 + 4p)) = 0 ((-35 + 28p) + 3q * (-5 + 4p)) = 0 (-35 + 28p + (-5 * 3q + 4p * 3q)) = 0 Reorder the terms: (-35 + 28p + (12pq + -15q)) = 0 (-35 + 28p + (12pq + -15q)) = 0 (-35 + 28p + 12pq + -15q) = 0 Solving -35 + 28p + 12pq + -15q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 28p + 12pq + 35 + -15q = 0 + 35 Reorder the terms: -35 + 35 + 28p + 12pq + -15q = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 28p + 12pq + -15q = 0 + 35 28p + 12pq + -15q = 0 + 35 Combine like terms: 0 + 35 = 35 28p + 12pq + -15q = 35 Add '15q' to each side of the equation. 28p + 12pq + -15q + 15q = 35 + 15q Combine like terms: -15q + 15q = 0 28p + 12pq + 0 = 35 + 15q 28p + 12pq = 35 + 15q Reorder the terms: -35 + 28p + 12pq + -15q = 35 + 15q + -35 + -15q Reorder the terms: -35 + 28p + 12pq + -15q = 35 + -35 + 15q + -15q Combine like terms: 35 + -35 = 0 -35 + 28p + 12pq + -15q = 0 + 15q + -15q -35 + 28p + 12pq + -15q = 15q + -15q Combine like terms: 15q + -15q = 0 -35 + 28p + 12pq + -15q = 0 The solution to this equation could not be determined.
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