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Simplifying (3a + 7b + -6c) + (2a + -4b + 13c) = 0 Remove parenthesis around (3a + 7b + -6c) 3a + 7b + -6c + (2a + -4b + 13c) = 0 Remove parenthesis around (2a + -4b + 13c) 3a + 7b + -6c + 2a + -4b + 13c = 0 Reorder the terms: 3a + 2a + 7b + -4b + -6c + 13c = 0 Combine like terms: 3a + 2a = 5a 5a + 7b + -4b + -6c + 13c = 0 Combine like terms: 7b + -4b = 3b 5a + 3b + -6c + 13c = 0 Combine like terms: -6c + 13c = 7c 5a + 3b + 7c = 0 Solving 5a + 3b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 5a + 3b + -3b + 7c = 0 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + 7c = 0 + -3b 5a + 7c = 0 + -3b Remove the zero: 5a + 7c = -3b Add '-7c' to each side of the equation. 5a + 7c + -7c = -3b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -3b + -7c 5a = -3b + -7c Divide each side by '5'. a = -0.6b + -1.4c Simplifying a = -0.6b + -1.4c
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