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Simplifying -2(-8a + 3b) + -1(7a + -2b) = 0 (-8a * -2 + 3b * -2) + -1(7a + -2b) = 0 (16a + -6b) + -1(7a + -2b) = 0 16a + -6b + (7a * -1 + -2b * -1) = 0 16a + -6b + (-7a + 2b) = 0 Reorder the terms: 16a + -7a + -6b + 2b = 0 Combine like terms: 16a + -7a = 9a 9a + -6b + 2b = 0 Combine like terms: -6b + 2b = -4b 9a + -4b = 0 Solving 9a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 9a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 9a + 0 = 0 + 4b 9a = 0 + 4b Remove the zero: 9a = 4b Divide each side by '9'. a = 0.4444444444b Simplifying a = 0.4444444444b
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