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Simplifying 2(7a + 6b + -8c) = 0 (7a * 2 + 6b * 2 + -8c * 2) = 0 (14a + 12b + -16c) = 0 Solving 14a + 12b + -16c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 14a + 12b + -12b + -16c = 0 + -12b Combine like terms: 12b + -12b = 0 14a + 0 + -16c = 0 + -12b 14a + -16c = 0 + -12b Remove the zero: 14a + -16c = -12b Add '16c' to each side of the equation. 14a + -16c + 16c = -12b + 16c Combine like terms: -16c + 16c = 0 14a + 0 = -12b + 16c 14a = -12b + 16c Divide each side by '14'. a = -0.8571428571b + 1.142857143c Simplifying a = -0.8571428571b + 1.142857143c
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