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Simplifying (8a + -5b + 3c) + -1(-9a + 6b + -4c) = 0 Remove parenthesis around (8a + -5b + 3c) 8a + -5b + 3c + -1(-9a + 6b + -4c) = 0 8a + -5b + 3c + (-9a * -1 + 6b * -1 + -4c * -1) = 0 8a + -5b + 3c + (9a + -6b + 4c) = 0 Reorder the terms: 8a + 9a + -5b + -6b + 3c + 4c = 0 Combine like terms: 8a + 9a = 17a 17a + -5b + -6b + 3c + 4c = 0 Combine like terms: -5b + -6b = -11b 17a + -11b + 3c + 4c = 0 Combine like terms: 3c + 4c = 7c 17a + -11b + 7c = 0 Solving 17a + -11b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 17a + -11b + 11b + 7c = 0 + 11b Combine like terms: -11b + 11b = 0 17a + 0 + 7c = 0 + 11b 17a + 7c = 0 + 11b Remove the zero: 17a + 7c = 11b Add '-7c' to each side of the equation. 17a + 7c + -7c = 11b + -7c Combine like terms: 7c + -7c = 0 17a + 0 = 11b + -7c 17a = 11b + -7c Divide each side by '17'. a = 0.6470588235b + -0.4117647059c Simplifying a = 0.6470588235b + -0.4117647059c
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