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Simplifying a(b + c + -1d) = ab + ac + -1ad (b * a + c * a + -1d * a) = ab + ac + -1ad (ab + ac + -1ad) = ab + ac + -1ad Add '-1ab' to each side of the equation. ab + ac + -1ab + -1ad = ab + ac + -1ab + -1ad Reorder the terms: ab + -1ab + ac + -1ad = ab + ac + -1ab + -1ad Combine like terms: ab + -1ab = 0 0 + ac + -1ad = ab + ac + -1ab + -1ad ac + -1ad = ab + ac + -1ab + -1ad Reorder the terms: ac + -1ad = ab + -1ab + ac + -1ad Combine like terms: ab + -1ab = 0 ac + -1ad = 0 + ac + -1ad ac + -1ad = ac + -1ad Add '-1ac' to each side of the equation. ac + -1ac + -1ad = ac + -1ac + -1ad Combine like terms: ac + -1ac = 0 0 + -1ad = ac + -1ac + -1ad -1ad = ac + -1ac + -1ad Combine like terms: ac + -1ac = 0 -1ad = 0 + -1ad -1ad = -1ad Add 'ad' to each side of the equation. -1ad + ad = -1ad + ad Combine like terms: -1ad + ad = 0 0 = -1ad + ad Combine like terms: -1ad + ad = 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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