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Simplifying a * -4 + b * 2 + c = 1 Reorder the terms for easier multiplication: -4a + b * 2 + c = 1 Reorder the terms for easier multiplication: -4a + 2b + c = 1 Solving -4a + 2b + c = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -4a + 2b + -2b + c = 1 + -2b Combine like terms: 2b + -2b = 0 -4a + 0 + c = 1 + -2b -4a + c = 1 + -2b Add '-1c' to each side of the equation. -4a + c + -1c = 1 + -2b + -1c Combine like terms: c + -1c = 0 -4a + 0 = 1 + -2b + -1c -4a = 1 + -2b + -1c Divide each side by '-4'. a = -0.25 + 0.5b + 0.25c Simplifying a = -0.25 + 0.5b + 0.25c
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