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Simplifying -4(a + -5b + -1c) = 0 (a * -4 + -5b * -4 + -1c * -4) = 0 (-4a + 20b + 4c) = 0 Solving -4a + 20b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. -4a + 20b + -20b + 4c = 0 + -20b Combine like terms: 20b + -20b = 0 -4a + 0 + 4c = 0 + -20b -4a + 4c = 0 + -20b Remove the zero: -4a + 4c = -20b Add '-4c' to each side of the equation. -4a + 4c + -4c = -20b + -4c Combine like terms: 4c + -4c = 0 -4a + 0 = -20b + -4c -4a = -20b + -4c Divide each side by '-4'. a = 5b + c Simplifying a = 5b + c
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