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Simplifying 7a + 12b + -14c + 12 = 0 Reorder the terms: 12 + 7a + 12b + -14c = 0 Solving 12 + 7a + 12b + -14c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7a + 12b + -12 + -14c = 0 + -12 Reorder the terms: 12 + -12 + 7a + 12b + -14c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7a + 12b + -14c = 0 + -12 7a + 12b + -14c = 0 + -12 Combine like terms: 0 + -12 = -12 7a + 12b + -14c = -12 Add '-12b' to each side of the equation. 7a + 12b + -12b + -14c = -12 + -12b Combine like terms: 12b + -12b = 0 7a + 0 + -14c = -12 + -12b 7a + -14c = -12 + -12b Add '14c' to each side of the equation. 7a + -14c + 14c = -12 + -12b + 14c Combine like terms: -14c + 14c = 0 7a + 0 = -12 + -12b + 14c 7a = -12 + -12b + 14c Divide each side by '7'. a = -1.714285714 + -1.714285714b + 2c Simplifying a = -1.714285714 + -1.714285714b + 2c
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