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Simplifying (8a + -2b + 5c) + -1(5c + -9a + 4b) = 0 Remove parenthesis around (8a + -2b + 5c) 8a + -2b + 5c + -1(5c + -9a + 4b) = 0 Reorder the terms: 8a + -2b + 5c + -1(-9a + 4b + 5c) = 0 8a + -2b + 5c + (-9a * -1 + 4b * -1 + 5c * -1) = 0 8a + -2b + 5c + (9a + -4b + -5c) = 0 Reorder the terms: 8a + 9a + -2b + -4b + 5c + -5c = 0 Combine like terms: 8a + 9a = 17a 17a + -2b + -4b + 5c + -5c = 0 Combine like terms: -2b + -4b = -6b 17a + -6b + 5c + -5c = 0 Combine like terms: 5c + -5c = 0 17a + -6b + 0 = 0 17a + -6b = 0 Solving 17a + -6b = 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. 17a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 17a + 0 = 0 + 6b 17a = 0 + 6b Remove the zero: 17a = 6b Divide each side by '17'. a = 0.3529411765b Simplifying a = 0.3529411765b
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