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Simplifying (3a + -6b + 5c) + -1(-2a + 4b + -8c) = 0 Remove parenthesis around (3a + -6b + 5c) 3a + -6b + 5c + -1(-2a + 4b + -8c) = 0 3a + -6b + 5c + (-2a * -1 + 4b * -1 + -8c * -1) = 0 3a + -6b + 5c + (2a + -4b + 8c) = 0 Reorder the terms: 3a + 2a + -6b + -4b + 5c + 8c = 0 Combine like terms: 3a + 2a = 5a 5a + -6b + -4b + 5c + 8c = 0 Combine like terms: -6b + -4b = -10b 5a + -10b + 5c + 8c = 0 Combine like terms: 5c + 8c = 13c 5a + -10b + 13c = 0 Solving 5a + -10b + 13c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 5a + -10b + 10b + 13c = 0 + 10b Combine like terms: -10b + 10b = 0 5a + 0 + 13c = 0 + 10b 5a + 13c = 0 + 10b Remove the zero: 5a + 13c = 10b Add '-13c' to each side of the equation. 5a + 13c + -13c = 10b + -13c Combine like terms: 13c + -13c = 0 5a + 0 = 10b + -13c 5a = 10b + -13c Divide each side by '5'. a = 2b + -2.6c Simplifying a = 2b + -2.6c
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