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Simplifying a(5) + b(6) + c(7) = 0 Reorder the terms for easier multiplication: 5a + b(6) + c(7) = 0 Reorder the terms for easier multiplication: 5a + 6b + c(7) = 0 Reorder the terms for easier multiplication: 5a + 6b + 7c = 0 Solving 5a + 6b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 5a + 6b + -6b + 7c = 0 + -6b Combine like terms: 6b + -6b = 0 5a + 0 + 7c = 0 + -6b 5a + 7c = 0 + -6b Remove the zero: 5a + 7c = -6b Add '-7c' to each side of the equation. 5a + 7c + -7c = -6b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -6b + -7c 5a = -6b + -7c Divide each side by '5'. a = -1.2b + -1.4c Simplifying a = -1.2b + -1.4c
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