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Simplifying (2a + 3b + -6c) = 0 Remove parenthesis around (2a + 3b + -6c) 2a + 3b + -6c = 0 Solving 2a + 3b + -6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b + -6c = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + -6c = 0 + -3b 2a + -6c = 0 + -3b Remove the zero: 2a + -6c = -3b Add '6c' to each side of the equation. 2a + -6c + 6c = -3b + 6c Combine like terms: -6c + 6c = 0 2a + 0 = -3b + 6c 2a = -3b + 6c Divide each side by '2'. a = -1.5b + 3c Simplifying a = -1.5b + 3c
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