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Simplifying -2a + c + -4b + 5a + -6c + 2 = 0 Reorder the terms: 2 + -2a + 5a + -4b + c + -6c = 0 Combine like terms: -2a + 5a = 3a 2 + 3a + -4b + c + -6c = 0 Combine like terms: c + -6c = -5c 2 + 3a + -4b + -5c = 0 Solving 2 + 3a + -4b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a + -4b + -2 + -5c = 0 + -2 Reorder the terms: 2 + -2 + 3a + -4b + -5c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a + -4b + -5c = 0 + -2 3a + -4b + -5c = 0 + -2 Combine like terms: 0 + -2 = -2 3a + -4b + -5c = -2 Add '4b' to each side of the equation. 3a + -4b + 4b + -5c = -2 + 4b Combine like terms: -4b + 4b = 0 3a + 0 + -5c = -2 + 4b 3a + -5c = -2 + 4b Add '5c' to each side of the equation. 3a + -5c + 5c = -2 + 4b + 5c Combine like terms: -5c + 5c = 0 3a + 0 = -2 + 4b + 5c 3a = -2 + 4b + 5c Divide each side by '3'. a = -0.6666666667 + 1.333333333b + 1.666666667c Simplifying a = -0.6666666667 + 1.333333333b + 1.666666667c
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