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Simplifying r(s + t) = rs + rt (s * r + t * r) = rs + rt (rs + rt) = rs + rt Add '-1rs' to each side of the equation. rs + -1rs + rt = rs + -1rs + rt Combine like terms: rs + -1rs = 0 0 + rt = rs + -1rs + rt rt = rs + -1rs + rt Combine like terms: rs + -1rs = 0 rt = 0 + rt rt = rt Add '-1rt' to each side of the equation. rt + -1rt = rt + -1rt Combine like terms: rt + -1rt = 0 0 = rt + -1rt Combine like terms: rt + -1rt = 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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