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Simplifying 4(1 + -8a) + 2(9a + -9) = 0 (1 * 4 + -8a * 4) + 2(9a + -9) = 0 (4 + -32a) + 2(9a + -9) = 0 Reorder the terms: 4 + -32a + 2(-9 + 9a) = 0 4 + -32a + (-9 * 2 + 9a * 2) = 0 4 + -32a + (-18 + 18a) = 0 Reorder the terms: 4 + -18 + -32a + 18a = 0 Combine like terms: 4 + -18 = -14 -14 + -32a + 18a = 0 Combine like terms: -32a + 18a = -14a -14 + -14a = 0 Solving -14 + -14a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -14a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14a = 0 + 14 -14a = 0 + 14 Combine like terms: 0 + 14 = 14 -14a = 14 Divide each side by '-14'. a = -1 Simplifying a = -1
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