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