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Simplifying 3a + -1(b + -1c) + (2a + -1B + -3c) = 0 3a + (b * -1 + -1c * -1) + (2a + -1B + -3c) = 0 3a + (-1b + 1c) + (2a + -1B + -3c) = 0 Reorder the terms: 3a + -1b + 1c + (-1B + 2a + -3c) = 0 Remove parenthesis around (-1B + 2a + -3c) 3a + -1b + 1c + -1B + 2a + -3c = 0 Reorder the terms: -1B + 3a + 2a + -1b + 1c + -3c = 0 Combine like terms: 3a + 2a = 5a -1B + 5a + -1b + 1c + -3c = 0 Combine like terms: 1c + -3c = -2c -1B + 5a + -1b + -2c = 0 Solving -1B + 5a + -1b + -2c = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-5a' to each side of the equation. -1B + 5a + -1b + -5a + -2c = 0 + -5a Reorder the terms: -1B + 5a + -5a + -1b + -2c = 0 + -5a Combine like terms: 5a + -5a = 0 -1B + 0 + -1b + -2c = 0 + -5a -1B + -1b + -2c = 0 + -5a Remove the zero: -1B + -1b + -2c = -5a Add 'b' to each side of the equation. -1B + -1b + b + -2c = -5a + b Combine like terms: -1b + b = 0 -1B + 0 + -2c = -5a + b -1B + -2c = -5a + b Add '2c' to each side of the equation. -1B + -2c + 2c = -5a + b + 2c Combine like terms: -2c + 2c = 0 -1B + 0 = -5a + b + 2c -1B = -5a + b + 2c Divide each side by '-1'. B = 5a + -1b + -2c Simplifying B = 5a + -1b + -2c
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