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Simplifying -2(-5a + 6b) + -9(-2a + 4b) = 0 (-5a * -2 + 6b * -2) + -9(-2a + 4b) = 0 (10a + -12b) + -9(-2a + 4b) = 0 10a + -12b + (-2a * -9 + 4b * -9) = 0 10a + -12b + (18a + -36b) = 0 Reorder the terms: 10a + 18a + -12b + -36b = 0 Combine like terms: 10a + 18a = 28a 28a + -12b + -36b = 0 Combine like terms: -12b + -36b = -48b 28a + -48b = 0 Solving 28a + -48b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48b' to each side of the equation. 28a + -48b + 48b = 0 + 48b Combine like terms: -48b + 48b = 0 28a + 0 = 0 + 48b 28a = 0 + 48b Remove the zero: 28a = 48b Divide each side by '28'. a = 1.714285714b Simplifying a = 1.714285714b
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