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Simplifying (-4a + b + -2c) + -1(3a + 2b + -1c) = 0 Remove parenthesis around (-4a + b + -2c) -4a + b + -2c + -1(3a + 2b + -1c) = 0 -4a + b + -2c + (3a * -1 + 2b * -1 + -1c * -1) = 0 -4a + b + -2c + (-3a + -2b + 1c) = 0 Reorder the terms: -4a + -3a + b + -2b + -2c + 1c = 0 Combine like terms: -4a + -3a = -7a -7a + b + -2b + -2c + 1c = 0 Combine like terms: b + -2b = -1b -7a + -1b + -2c + 1c = 0 Combine like terms: -2c + 1c = -1c -7a + -1b + -1c = 0 Solving -7a + -1b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -7a + -1b + b + -1c = 0 + b Combine like terms: -1b + b = 0 -7a + 0 + -1c = 0 + b -7a + -1c = 0 + b Remove the zero: -7a + -1c = b Add 'c' to each side of the equation. -7a + -1c + c = b + c Combine like terms: -1c + c = 0 -7a + 0 = b + c -7a = b + c Divide each side by '-7'. a = -0.1428571429b + -0.1428571429c Simplifying a = -0.1428571429b + -0.1428571429c
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