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Simplifying 7a + 4(3b + -2c) + 2(-6b + 2c) = 0 7a + (3b * 4 + -2c * 4) + 2(-6b + 2c) = 0 7a + (12b + -8c) + 2(-6b + 2c) = 0 7a + 12b + -8c + (-6b * 2 + 2c * 2) = 0 7a + 12b + -8c + (-12b + 4c) = 0 Reorder the terms: 7a + 12b + -12b + -8c + 4c = 0 Combine like terms: 12b + -12b = 0 7a + 0 + -8c + 4c = 0 7a + -8c + 4c = 0 Combine like terms: -8c + 4c = -4c 7a + -4c = 0 Solving 7a + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4c' to each side of the equation. 7a + -4c + 4c = 0 + 4c Combine like terms: -4c + 4c = 0 7a + 0 = 0 + 4c 7a = 0 + 4c Remove the zero: 7a = 4c Divide each side by '7'. a = 0.5714285714c Simplifying a = 0.5714285714c
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