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Simplifying 2a + 3b + 4c = 9a + -9b + 9c Solving 2a + 3b + 4c = 9a + -9b + 9c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 2a + 3b + -9a + 4c = 9a + -9b + -9a + 9c Reorder the terms: 2a + -9a + 3b + 4c = 9a + -9b + -9a + 9c Combine like terms: 2a + -9a = -7a -7a + 3b + 4c = 9a + -9b + -9a + 9c Reorder the terms: -7a + 3b + 4c = 9a + -9a + -9b + 9c Combine like terms: 9a + -9a = 0 -7a + 3b + 4c = 0 + -9b + 9c -7a + 3b + 4c = -9b + 9c Add '-3b' to each side of the equation. -7a + 3b + -3b + 4c = -9b + -3b + 9c Combine like terms: 3b + -3b = 0 -7a + 0 + 4c = -9b + -3b + 9c -7a + 4c = -9b + -3b + 9c Combine like terms: -9b + -3b = -12b -7a + 4c = -12b + 9c Add '-4c' to each side of the equation. -7a + 4c + -4c = -12b + 9c + -4c Combine like terms: 4c + -4c = 0 -7a + 0 = -12b + 9c + -4c -7a = -12b + 9c + -4c Combine like terms: 9c + -4c = 5c -7a = -12b + 5c Divide each side by '-7'. a = 1.714285714b + -0.7142857143c Simplifying a = 1.714285714b + -0.7142857143c
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