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Simplifying 7(6a + 4b + 8c) = 0 (6a * 7 + 4b * 7 + 8c * 7) = 0 (42a + 28b + 56c) = 0 Solving 42a + 28b + 56c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28b' to each side of the equation. 42a + 28b + -28b + 56c = 0 + -28b Combine like terms: 28b + -28b = 0 42a + 0 + 56c = 0 + -28b 42a + 56c = 0 + -28b Remove the zero: 42a + 56c = -28b Add '-56c' to each side of the equation. 42a + 56c + -56c = -28b + -56c Combine like terms: 56c + -56c = 0 42a + 0 = -28b + -56c 42a = -28b + -56c Divide each side by '42'. a = -0.6666666667b + -1.333333333c Simplifying a = -0.6666666667b + -1.333333333c
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