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Simplifying 4(11a + -6) + -9(4 + -2a) = 0 Reorder the terms: 4(-6 + 11a) + -9(4 + -2a) = 0 (-6 * 4 + 11a * 4) + -9(4 + -2a) = 0 (-24 + 44a) + -9(4 + -2a) = 0 -24 + 44a + (4 * -9 + -2a * -9) = 0 -24 + 44a + (-36 + 18a) = 0 Reorder the terms: -24 + -36 + 44a + 18a = 0 Combine like terms: -24 + -36 = -60 -60 + 44a + 18a = 0 Combine like terms: 44a + 18a = 62a -60 + 62a = 0 Solving -60 + 62a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 62a = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 62a = 0 + 60 62a = 0 + 60 Combine like terms: 0 + 60 = 60 62a = 60 Divide each side by '62'. a = 0.9677419355 Simplifying a = 0.9677419355
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