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Simplifying -1(a + 2b + -1c + -5a) = 0 Reorder the terms: -1(a + -5a + 2b + -1c) = 0 Combine like terms: a + -5a = -4a -1(-4a + 2b + -1c) = 0 (-4a * -1 + 2b * -1 + -1c * -1) = 0 (4a + -2b + 1c) = 0 Solving 4a + -2b + 1c = 0 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 + 1c = 0 + 2b Combine like terms: -2b + 2b = 0 4a + 0 + 1c = 0 + 2b 4a + 1c = 0 + 2b Remove the zero: 4a + 1c = 2b Add '-1c' to each side of the equation. 4a + 1c + -1c = 2b + -1c Combine like terms: 1c + -1c = 0 4a + 0 = 2b + -1c 4a = 2b + -1c Divide each side by '4'. a = 0.5b + -0.25c Simplifying a = 0.5b + -0.25c
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