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Simplifying x(a + bw + -1mq) + 2xa + -8mqx = 0 (a * x + bw * x + -1mq * x) + 2xa + -8mqx = 0 (ax + bwx + -1mqx) + 2xa + -8mqx = 0 Reorder the terms: ax + 2ax + bwx + -1mqx + -8mqx = 0 Combine like terms: ax + 2ax = 3ax 3ax + bwx + -1mqx + -8mqx = 0 Combine like terms: -1mqx + -8mqx = -9mqx 3ax + bwx + -9mqx = 0 Solving 3ax + bwx + -9mqx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bwx' to each side of the equation. 3ax + bwx + -1bwx + -9mqx = 0 + -1bwx Combine like terms: bwx + -1bwx = 0 3ax + 0 + -9mqx = 0 + -1bwx 3ax + -9mqx = 0 + -1bwx Remove the zero: 3ax + -9mqx = -1bwx Add '9mqx' to each side of the equation. 3ax + -9mqx + 9mqx = -1bwx + 9mqx Combine like terms: -9mqx + 9mqx = 0 3ax + 0 = -1bwx + 9mqx 3ax = -1bwx + 9mqx Divide each side by '3x'. a = -0.3333333333bw + 3mq Simplifying a = -0.3333333333bw + 3mq
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