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Simplifying 10a + -1[(3a + 4b) + -2(3a + c) + -3b] = 0 Remove parenthesis around (3a + 4b) 10a + -1[3a + 4b + -2(3a + c) + -3b] = 0 10a + -1[3a + 4b + (3a * -2 + c * -2) + -3b] = 0 10a + -1[3a + 4b + (-6a + -2c) + -3b] = 0 Reorder the terms: 10a + -1[3a + -6a + 4b + -3b + -2c] = 0 Combine like terms: 3a + -6a = -3a 10a + -1[-3a + 4b + -3b + -2c] = 0 Combine like terms: 4b + -3b = 1b 10a + -1[-3a + 1b + -2c] = 0 10a + [-3a * -1 + 1b * -1 + -2c * -1] = 0 10a + [3a + -1b + 2c] = 0 Combine like terms: 10a + 3a = 13a 13a + -1b + 2c = 0 Solving 13a + -1b + 2c = 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. 13a + -1b + b + 2c = 0 + b Combine like terms: -1b + b = 0 13a + 0 + 2c = 0 + b 13a + 2c = 0 + b Remove the zero: 13a + 2c = b Add '-2c' to each side of the equation. 13a + 2c + -2c = b + -2c Combine like terms: 2c + -2c = 0 13a + 0 = b + -2c 13a = b + -2c Divide each side by '13'. a = 0.07692307692b + -0.1538461538c Simplifying a = 0.07692307692b + -0.1538461538c
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