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Simplifying -12a + -17b + -18c + 18a + 18b + 25c = 0 Reorder the terms: -12a + 18a + -17b + 18b + -18c + 25c = 0 Combine like terms: -12a + 18a = 6a 6a + -17b + 18b + -18c + 25c = 0 Combine like terms: -17b + 18b = 1b 6a + 1b + -18c + 25c = 0 Combine like terms: -18c + 25c = 7c 6a + 1b + 7c = 0 Solving 6a + 1b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 6a + 1b + -1b + 7c = 0 + -1b Combine like terms: 1b + -1b = 0 6a + 0 + 7c = 0 + -1b 6a + 7c = 0 + -1b Remove the zero: 6a + 7c = -1b Add '-7c' to each side of the equation. 6a + 7c + -7c = -1b + -7c Combine like terms: 7c + -7c = 0 6a + 0 = -1b + -7c 6a = -1b + -7c Divide each side by '6'. a = -0.1666666667b + -1.166666667c Simplifying a = -0.1666666667b + -1.166666667c
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