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Simplifying a(b + c) + 2(b + c) = 0 (b * a + c * a) + 2(b + c) = 0 (ab + ac) + 2(b + c) = 0 ab + ac + (b * 2 + c * 2) = 0 ab + ac + (2b + 2c) = 0 Solving ab + ac + 2b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. ab + ac + 2b + -2b + 2c = 0 + -2b Combine like terms: 2b + -2b = 0 ab + ac + 0 + 2c = 0 + -2b ab + ac + 2c = 0 + -2b Remove the zero: ab + ac + 2c = -2b Add '-2c' to each side of the equation. ab + ac + 2c + -2c = -2b + -2c Combine like terms: 2c + -2c = 0 ab + ac + 0 = -2b + -2c ab + ac = -2b + -2c Reorder the terms: ab + ac + 2b + 2c = -2b + 2b + -2c + 2c Combine like terms: -2b + 2b = 0 ab + ac + 2b + 2c = 0 + -2c + 2c ab + ac + 2b + 2c = -2c + 2c Combine like terms: -2c + 2c = 0 ab + ac + 2b + 2c = 0 The solution to this equation could not be determined.
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