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Simplifying (2a + 3b + 4c) + (4a + 2b) = 0 Remove parenthesis around (2a + 3b + 4c) 2a + 3b + 4c + (4a + 2b) = 0 Remove parenthesis around (4a + 2b) 2a + 3b + 4c + 4a + 2b = 0 Reorder the terms: 2a + 4a + 3b + 2b + 4c = 0 Combine like terms: 2a + 4a = 6a 6a + 3b + 2b + 4c = 0 Combine like terms: 3b + 2b = 5b 6a + 5b + 4c = 0 Solving 6a + 5b + 4c = 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. 6a + 5b + -5b + 4c = 0 + -5b Combine like terms: 5b + -5b = 0 6a + 0 + 4c = 0 + -5b 6a + 4c = 0 + -5b Remove the zero: 6a + 4c = -5b Add '-4c' to each side of the equation. 6a + 4c + -4c = -5b + -4c Combine like terms: 4c + -4c = 0 6a + 0 = -5b + -4c 6a = -5b + -4c Divide each side by '6'. a = -0.8333333333b + -0.6666666667c Simplifying a = -0.8333333333b + -0.6666666667c
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