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Simplifying p(q + r) = qp + pr (q * p + r * p) = qp + pr (pq + pr) = qp + pr Add '-1pq' to each side of the equation. pq + -1pq + pr = pq + -1pq + pr Combine like terms: pq + -1pq = 0 0 + pr = pq + -1pq + pr pr = pq + -1pq + pr Combine like terms: pq + -1pq = 0 pr = 0 + pr pr = pr Add '-1pr' to each side of the equation. pr + -1pr = pr + -1pr Combine like terms: pr + -1pr = 0 0 = pr + -1pr Combine like terms: pr + -1pr = 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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