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Simplifying 11(a + 5b + -3c) = 0 (a * 11 + 5b * 11 + -3c * 11) = 0 (11a + 55b + -33c) = 0 Solving 11a + 55b + -33c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-55b' to each side of the equation. 11a + 55b + -55b + -33c = 0 + -55b Combine like terms: 55b + -55b = 0 11a + 0 + -33c = 0 + -55b 11a + -33c = 0 + -55b Remove the zero: 11a + -33c = -55b Add '33c' to each side of the equation. 11a + -33c + 33c = -55b + 33c Combine like terms: -33c + 33c = 0 11a + 0 = -55b + 33c 11a = -55b + 33c Divide each side by '11'. a = -5b + 3c Simplifying a = -5b + 3c
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