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Simplifying 7a + -4b + 5c = -7a + 4b + -6c Solving 7a + -4b + 5c = -7a + 4b + -6c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 7a + -4b + 7a + 5c = -7a + 4b + 7a + -6c Reorder the terms: 7a + 7a + -4b + 5c = -7a + 4b + 7a + -6c Combine like terms: 7a + 7a = 14a 14a + -4b + 5c = -7a + 4b + 7a + -6c Reorder the terms: 14a + -4b + 5c = -7a + 7a + 4b + -6c Combine like terms: -7a + 7a = 0 14a + -4b + 5c = 0 + 4b + -6c 14a + -4b + 5c = 4b + -6c Add '4b' to each side of the equation. 14a + -4b + 4b + 5c = 4b + 4b + -6c Combine like terms: -4b + 4b = 0 14a + 0 + 5c = 4b + 4b + -6c 14a + 5c = 4b + 4b + -6c Combine like terms: 4b + 4b = 8b 14a + 5c = 8b + -6c Add '-5c' to each side of the equation. 14a + 5c + -5c = 8b + -6c + -5c Combine like terms: 5c + -5c = 0 14a + 0 = 8b + -6c + -5c 14a = 8b + -6c + -5c Combine like terms: -6c + -5c = -11c 14a = 8b + -11c Divide each side by '14'. a = 0.5714285714b + -0.7857142857c Simplifying a = 0.5714285714b + -0.7857142857c
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