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Simplifying -2a + 2b + 4c + -2a + -2b + c = 6 Reorder the terms: -2a + -2a + 2b + -2b + 4c + c = 6 Combine like terms: -2a + -2a = -4a -4a + 2b + -2b + 4c + c = 6 Combine like terms: 2b + -2b = 0 -4a + 0 + 4c + c = 6 -4a + 4c + c = 6 Combine like terms: 4c + c = 5c -4a + 5c = 6 Solving -4a + 5c = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. -4a + 5c + -5c = 6 + -5c Combine like terms: 5c + -5c = 0 -4a + 0 = 6 + -5c -4a = 6 + -5c Divide each side by '-4'. a = -1.5 + 1.25c Simplifying a = -1.5 + 1.25c
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