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Simplifying 0 = 14(a + 2b + -3c) 0 = (a * 14 + 2b * 14 + -3c * 14) 0 = (14a + 28b + -42c) Solving 0 = 14a + 28b + -42c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 0 + -14a = 14a + 28b + -14a + -42c Remove the zero: -14a = 14a + 28b + -14a + -42c Reorder the terms: -14a = 14a + -14a + 28b + -42c Combine like terms: 14a + -14a = 0 -14a = 0 + 28b + -42c -14a = 28b + -42c Divide each side by '-14'. a = -2b + 3c Simplifying a = -2b + 3c
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