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Simplifying (6a + -1)(6a + 1) + -4a(9a + 2) = -1 Reorder the terms: (-1 + 6a)(6a + 1) + -4a(9a + 2) = -1 Reorder the terms: (-1 + 6a)(1 + 6a) + -4a(9a + 2) = -1 Multiply (-1 + 6a) * (1 + 6a) (-1(1 + 6a) + 6a * (1 + 6a)) + -4a(9a + 2) = -1 ((1 * -1 + 6a * -1) + 6a * (1 + 6a)) + -4a(9a + 2) = -1 ((-1 + -6a) + 6a * (1 + 6a)) + -4a(9a + 2) = -1 (-1 + -6a + (1 * 6a + 6a * 6a)) + -4a(9a + 2) = -1 (-1 + -6a + (6a + 36a2)) + -4a(9a + 2) = -1 Combine like terms: -6a + 6a = 0 (-1 + 0 + 36a2) + -4a(9a + 2) = -1 (-1 + 36a2) + -4a(9a + 2) = -1 Reorder the terms: -1 + 36a2 + -4a(2 + 9a) = -1 -1 + 36a2 + (2 * -4a + 9a * -4a) = -1 -1 + 36a2 + (-8a + -36a2) = -1 Reorder the terms: -1 + -8a + 36a2 + -36a2 = -1 Combine like terms: 36a2 + -36a2 = 0 -1 + -8a + 0 = -1 -1 + -8a = -1 Add '1' to each side of the equation. -1 + 1 + -8a = -1 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = -1 + 1 -8a = -1 + 1 Combine like terms: -1 + 1 = 0 -8a = 0 Solving -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-8'. a = 0 Simplifying a = 0
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