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Simplifying 6a + -7ab + b + -3ac + 3bc + -1c + -1(8a + 9ab + -4b) + -1(-5ac + 2bc + -3c) = 0 6a + -7ab + b + -3ac + 3bc + -1c + (8a * -1 + 9ab * -1 + -4b * -1) + -1(-5ac + 2bc + -3c) = 0 6a + -7ab + b + -3ac + 3bc + -1c + (-8a + -9ab + 4b) + -1(-5ac + 2bc + -3c) = 0 6a + -7ab + b + -3ac + 3bc + -1c + -8a + -9ab + 4b + (-5ac * -1 + 2bc * -1 + -3c * -1) = 0 6a + -7ab + b + -3ac + 3bc + -1c + -8a + -9ab + 4b + (5ac + -2bc + 3c) = 0 Reorder the terms: 6a + -8a + -7ab + -9ab + -3ac + 5ac + b + 4b + 3bc + -2bc + -1c + 3c = 0 Combine like terms: 6a + -8a = -2a -2a + -7ab + -9ab + -3ac + 5ac + b + 4b + 3bc + -2bc + -1c + 3c = 0 Combine like terms: -7ab + -9ab = -16ab -2a + -16ab + -3ac + 5ac + b + 4b + 3bc + -2bc + -1c + 3c = 0 Combine like terms: -3ac + 5ac = 2ac -2a + -16ab + 2ac + b + 4b + 3bc + -2bc + -1c + 3c = 0 Combine like terms: b + 4b = 5b -2a + -16ab + 2ac + 5b + 3bc + -2bc + -1c + 3c = 0 Combine like terms: 3bc + -2bc = 1bc -2a + -16ab + 2ac + 5b + 1bc + -1c + 3c = 0 Combine like terms: -1c + 3c = 2c -2a + -16ab + 2ac + 5b + 1bc + 2c = 0 Solving -2a + -16ab + 2ac + 5b + 1bc + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -2a + -16ab + 2ac + 5b + 1bc + -5b + 2c = 0 + -5b Reorder the terms: -2a + -16ab + 2ac + 5b + -5b + 1bc + 2c = 0 + -5b Combine like terms: 5b + -5b = 0 -2a + -16ab + 2ac + 0 + 1bc + 2c = 0 + -5b -2a + -16ab + 2ac + 1bc + 2c = 0 + -5b Remove the zero: -2a + -16ab + 2ac + 1bc + 2c = -5b Add '-1bc' to each side of the equation. -2a + -16ab + 2ac + 1bc + -1bc + 2c = -5b + -1bc Combine like terms: 1bc + -1bc = 0 -2a + -16ab + 2ac + 0 + 2c = -5b + -1bc -2a + -16ab + 2ac + 2c = -5b + -1bc Add '-2c' to each side of the equation. -2a + -16ab + 2ac + 2c + -2c = -5b + -1bc + -2c Combine like terms: 2c + -2c = 0 -2a + -16ab + 2ac + 0 = -5b + -1bc + -2c -2a + -16ab + 2ac = -5b + -1bc + -2c Reorder the terms: -2a + -16ab + 2ac + 5b + bc + 2c = -5b + 5b + -1bc + bc + -2c + 2c Combine like terms: -5b + 5b = 0 -2a + -16ab + 2ac + 5b + bc + 2c = 0 + -1bc + bc + -2c + 2c -2a + -16ab + 2ac + 5b + bc + 2c = -1bc + bc + -2c + 2c Combine like terms: -1bc + bc = 0 -2a + -16ab + 2ac + 5b + bc + 2c = 0 + -2c + 2c -2a + -16ab + 2ac + 5b + bc + 2c = -2c + 2c Combine like terms: -2c + 2c = 0 -2a + -16ab + 2ac + 5b + bc + 2c = 0 The solution to this equation could not be determined.
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