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Simplifying 17a + 17b + 3c + 4c + -3b + -6a = 0 Reorder the terms: 17a + -6a + 17b + -3b + 3c + 4c = 0 Combine like terms: 17a + -6a = 11a 11a + 17b + -3b + 3c + 4c = 0 Combine like terms: 17b + -3b = 14b 11a + 14b + 3c + 4c = 0 Combine like terms: 3c + 4c = 7c 11a + 14b + 7c = 0 Solving 11a + 14b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 11a + 14b + -14b + 7c = 0 + -14b Combine like terms: 14b + -14b = 0 11a + 0 + 7c = 0 + -14b 11a + 7c = 0 + -14b Remove the zero: 11a + 7c = -14b Add '-7c' to each side of the equation. 11a + 7c + -7c = -14b + -7c Combine like terms: 7c + -7c = 0 11a + 0 = -14b + -7c 11a = -14b + -7c Divide each side by '11'. a = -1.272727273b + -0.6363636364c Simplifying a = -1.272727273b + -0.6363636364c
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