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Simplifying 2a(b + c) + 3(b + c) + 5b = 0 (b * 2a + c * 2a) + 3(b + c) + 5b = 0 (2ab + 2ac) + 3(b + c) + 5b = 0 2ab + 2ac + (b * 3 + c * 3) + 5b = 0 2ab + 2ac + (3b + 3c) + 5b = 0 Reorder the terms: 2ab + 2ac + 3b + 5b + 3c = 0 Combine like terms: 3b + 5b = 8b 2ab + 2ac + 8b + 3c = 0 Solving 2ab + 2ac + 8b + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 2ab + 2ac + 8b + -8b + 3c = 0 + -8b Combine like terms: 8b + -8b = 0 2ab + 2ac + 0 + 3c = 0 + -8b 2ab + 2ac + 3c = 0 + -8b Remove the zero: 2ab + 2ac + 3c = -8b Add '-3c' to each side of the equation. 2ab + 2ac + 3c + -3c = -8b + -3c Combine like terms: 3c + -3c = 0 2ab + 2ac + 0 = -8b + -3c 2ab + 2ac = -8b + -3c Reorder the terms: 2ab + 2ac + 8b + 3c = -8b + 8b + -3c + 3c Combine like terms: -8b + 8b = 0 2ab + 2ac + 8b + 3c = 0 + -3c + 3c 2ab + 2ac + 8b + 3c = -3c + 3c Combine like terms: -3c + 3c = 0 2ab + 2ac + 8b + 3c = 0 The solution to this equation could not be determined.
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