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Simplifying p(4q + -9) + p(6 + -1q) = 4pq + -9p + 6p + -1qp Reorder the terms: p(-9 + 4q) + p(6 + -1q) = 4pq + -9p + 6p + -1qp (-9 * p + 4q * p) + p(6 + -1q) = 4pq + -9p + 6p + -1qp (-9p + 4pq) + p(6 + -1q) = 4pq + -9p + 6p + -1qp -9p + 4pq + (6 * p + -1q * p) = 4pq + -9p + 6p + -1qp -9p + 4pq + (6p + -1pq) = 4pq + -9p + 6p + -1qp Reorder the terms: -9p + 6p + 4pq + -1pq = 4pq + -9p + 6p + -1qp Combine like terms: -9p + 6p = -3p -3p + 4pq + -1pq = 4pq + -9p + 6p + -1qp Combine like terms: 4pq + -1pq = 3pq -3p + 3pq = 4pq + -9p + 6p + -1qp Reorder the terms: -3p + 3pq = -9p + 6p + 4pq + -1pq Combine like terms: -9p + 6p = -3p -3p + 3pq = -3p + 4pq + -1pq Combine like terms: 4pq + -1pq = 3pq -3p + 3pq = -3p + 3pq Add '3p' to each side of the equation. -3p + 3p + 3pq = -3p + 3p + 3pq Combine like terms: -3p + 3p = 0 0 + 3pq = -3p + 3p + 3pq 3pq = -3p + 3p + 3pq Combine like terms: -3p + 3p = 0 3pq = 0 + 3pq 3pq = 3pq Add '-3pq' to each side of the equation. 3pq + -3pq = 3pq + -3pq Combine like terms: 3pq + -3pq = 0 0 = 3pq + -3pq Combine like terms: 3pq + -3pq = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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