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Simplifying 15a + 16b + 3c + 3c + -2b + -4a = 0 Reorder the terms: 15a + -4a + 16b + -2b + 3c + 3c = 0 Combine like terms: 15a + -4a = 11a 11a + 16b + -2b + 3c + 3c = 0 Combine like terms: 16b + -2b = 14b 11a + 14b + 3c + 3c = 0 Combine like terms: 3c + 3c = 6c 11a + 14b + 6c = 0 Solving 11a + 14b + 6c = 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 + 6c = 0 + -14b Combine like terms: 14b + -14b = 0 11a + 0 + 6c = 0 + -14b 11a + 6c = 0 + -14b Remove the zero: 11a + 6c = -14b Add '-6c' to each side of the equation. 11a + 6c + -6c = -14b + -6c Combine like terms: 6c + -6c = 0 11a + 0 = -14b + -6c 11a = -14b + -6c Divide each side by '11'. a = -1.272727273b + -0.5454545455c Simplifying a = -1.272727273b + -0.5454545455c
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