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Simplifying (1a + 2b + 2c) + 3a + 3b + 3c = 0 Remove parenthesis around (1a + 2b + 2c) 1a + 2b + 2c + 3a + 3b + 3c = 0 Reorder the terms: 1a + 3a + 2b + 3b + 2c + 3c = 0 Combine like terms: 1a + 3a = 4a 4a + 2b + 3b + 2c + 3c = 0 Combine like terms: 2b + 3b = 5b 4a + 5b + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 4a + 5b + 5c = 0 Solving 4a + 5b + 5c = 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. 4a + 5b + -5b + 5c = 0 + -5b Combine like terms: 5b + -5b = 0 4a + 0 + 5c = 0 + -5b 4a + 5c = 0 + -5b Remove the zero: 4a + 5c = -5b Add '-5c' to each side of the equation. 4a + 5c + -5c = -5b + -5c Combine like terms: 5c + -5c = 0 4a + 0 = -5b + -5c 4a = -5b + -5c Divide each side by '4'. a = -1.25b + -1.25c Simplifying a = -1.25b + -1.25c
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