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