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Simplifying 10a + -3b + -1(-9b + -7a) = 0 Reorder the terms: 10a + -3b + -1(-7a + -9b) = 0 10a + -3b + (-7a * -1 + -9b * -1) = 0 10a + -3b + (7a + 9b) = 0 Reorder the terms: 10a + 7a + -3b + 9b = 0 Combine like terms: 10a + 7a = 17a 17a + -3b + 9b = 0 Combine like terms: -3b + 9b = 6b 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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